Group Representations Ergodic Theory Operator Algebras And Mathematical Physics

Download Group Representations Ergodic Theory Operator Algebras And Mathematical Physics full books in PDF, epub, and Kindle. Read online Group Representations Ergodic Theory Operator Algebras And Mathematical Physics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics

Author : Calvin C. Moore
Publisher : Springer Science & Business Media
ISBN 13 : 1461247225
Total Pages : 283 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics by : Calvin C. Moore

Download or read book Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics written by Calvin C. Moore and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Sciences Research Institute sponsored a three day conference, May 21-23, 1984 to honor Professor George W. Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have characterized Professor wide ranging Mackey's work. The conference provided an opportunity for his students, friends and colleagues to honor him and his contributions. The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey's mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild. This volume is a compendium of the scientific papers presented at the conference plus some additional papers contributed after the conference. The far ranging scope of the various articles is a further indication of the large number of fields that have been affected by Professor Mackey's work. Calvin C. Moore Berkeley, CA Feb, 1986 Table of Contents Preface vi i Ambiguity Functions and Group L. Auslander and Representations R. Tolimieri Kirillov Orbits and Direct Integral Lawrence Corwin 11 Decompositions on Certain Quotient Spaces Some Homotopy and Shape Calculations Edward G. Effors and 69 for C*-Algebras Jerome Kaminker 121 Small Unitary Representations of Roger Howe Classical Groups Dual Vector Spaces Irving Kaplansky 151 Exponential Decay of Correlation Calvin C. Moore 163 Coefficients for Geodesic Flows Lattices in U(n. I) G. D. Mostow Induced Bundles and Nonlinear Irving E. Segal 199 Wave equations Compact Ahelian Aut.

Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics

Author : Calvin C Moore
Publisher :
ISBN 13 : 9781461247234
Total Pages : 292 pages
Book Rating : 4.2/5 (472 download)

DOWNLOAD NOW!

Book Synopsis Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics by : Calvin C Moore

Download or read book Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics written by Calvin C Moore and published by . This book was released on 1986-12-22 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics

Author : Calvin C. Moore
Publisher : Springer
ISBN 13 : 9780387964713
Total Pages : 0 pages
Book Rating : 4.9/5 (647 download)

DOWNLOAD NOW!

Book Synopsis Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics by : Calvin C. Moore

Download or read book Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics written by Calvin C. Moore and published by Springer. This book was released on 1986-12-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Sciences Research Institute sponsored a three day conference, May 21-23, 1984 to honor Professor George W. Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have characterized Professor wide ranging Mackey's work. The conference provided an opportunity for his students, friends and colleagues to honor him and his contributions. The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey's mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild. This volume is a compendium of the scientific papers presented at the conference plus some additional papers contributed after the conference. The far ranging scope of the various articles is a further indication of the large number of fields that have been affected by Professor Mackey's work. Calvin C. Moore Berkeley, CA Feb, 1986 Table of Contents Preface vi i Ambiguity Functions and Group L. Auslander and Representations R. Tolimieri Kirillov Orbits and Direct Integral Lawrence Corwin 11 Decompositions on Certain Quotient Spaces Some Homotopy and Shape Calculations Edward G. Effors and 69 for C*-Algebras Jerome Kaminker 121 Small Unitary Representations of Roger Howe Classical Groups Dual Vector Spaces Irving Kaplansky 151 Exponential Decay of Correlation Calvin C. Moore 163 Coefficients for Geodesic Flows Lattices in U(n. I) G. D. Mostow Induced Bundles and Nonlinear Irving E. Segal 199 Wave equations Compact Ahelian Aut.

Group Representations, Ergodic Theory, and Mathematical Physics

Author : Robert S. Doran
Publisher : American Mathematical Soc.
ISBN 13 : 0821842250
Total Pages : 458 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Group Representations, Ergodic Theory, and Mathematical Physics by : Robert S. Doran

Download or read book Group Representations, Ergodic Theory, and Mathematical Physics written by Robert S. Doran and published by American Mathematical Soc.. This book was released on 2008 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.

Theory of Group Representations and Applications

Author : A Barut
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103876
Total Pages : 740 pages
Book Rating : 4.8/5 (131 download)

DOWNLOAD NOW!

Book Synopsis Theory of Group Representations and Applications by : A Barut

Download or read book Theory of Group Representations and Applications written by A Barut and published by World Scientific Publishing Company. This book was released on 1986-11-01 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder. There is no other comparable book on group representations, neither in mathematical nor in physical literature and it is hoped that this book will prove to be useful in many areas of research. It is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations. Request Inspection Copy

Operator Algebras and Quantum Statistical Mechanics

Author : Ola Bratteli
Publisher : Springer Science & Business Media
ISBN 13 : 366202313X
Total Pages : 503 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis Operator Algebras and Quantum Statistical Mechanics by : Ola Bratteli

Download or read book Operator Algebras and Quantum Statistical Mechanics written by Ola Bratteli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we intended to cover this material in one volume but in the course of develop ment it was realized that this would entail the omission of various interesting topics or details. Consequently the book was split into two volumes, the first devoted to the general theory of operator algebras and the second to the applications. This splitting into theory and applications is conventional but somewhat arbitrary. In the last 15-20 years mathematical physicists have realized the importance of operator algebras and their states and automorphisms for problems offield theory and statistical mechanics. But the theory of 20 years ago was largely developed for the analysis of group representations and it was inadequate for many physical applications. Thus after a short honey moon period in which the new found tools of the extant theory were applied to the most amenable problems a longer and more interesting period ensued in which mathematical physicists were forced to redevelop the theory in relevant directions. New concepts were introduced, e. g. asymptotic abelian ness and KMS states, new techniques applied, e. g. the Choquet theory of barycentric decomposition for states, and new structural results obtained, e. g. the existence of a continuum of nonisomorphic type-three factors.

Operator Theoretic Aspects of Ergodic Theory

Author : Tanja Eisner
Publisher : Springer
ISBN 13 : 3319168983
Total Pages : 630 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!

Book Synopsis Operator Theoretic Aspects of Ergodic Theory by : Tanja Eisner

Download or read book Operator Theoretic Aspects of Ergodic Theory written by Tanja Eisner and published by Springer. This book was released on 2015-11-18 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory. Topics include: • an intuitive introduction to ergodic theory • an introduction to the basic notions, constructions, and standard examples of topological dynamical systems • Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand–Naimark theorem • measure-preserving dynamical systems • von Neumann’s Mean Ergodic Theorem and Birkhoff’s Pointwise Ergodic Theorem • strongly and weakly mixing systems • an examination of notions of isomorphism for measure-preserving systems • Markov operators, and the related concept of a factor of a measure preserving system • compact groups and semigroups, and a powerful tool in their study, the Jacobs–de Leeuw–Glicksberg decomposition • an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg’s Correspondence Principle, theorems of Roth and Furstenberg–Sárközy) Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory

Recent Advances in Operator Theory, Operator Algebras, and their Applications

Author : Dumitru Gaspar
Publisher : Springer Science & Business Media
ISBN 13 : 3764373148
Total Pages : 351 pages
Book Rating : 4.7/5 (643 download)

DOWNLOAD NOW!

Book Synopsis Recent Advances in Operator Theory, Operator Algebras, and their Applications by : Dumitru Gaspar

Download or read book Recent Advances in Operator Theory, Operator Algebras, and their Applications written by Dumitru Gaspar and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.

Operator Algebras and Quantum Statistical Mechanics 1

Author : Ola Bratteli
Publisher : Springer Science & Business Media
ISBN 13 : 3662025205
Total Pages : 510 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis Operator Algebras and Quantum Statistical Mechanics 1 by : Ola Bratteli

Download or read book Operator Algebras and Quantum Statistical Mechanics 1 written by Ola Bratteli and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we intended to cover this material in one volume but in the course of develop ment it was realized that this would entail the omission ofvarious interesting topics or details. Consequently the book was split into two volumes, the first devoted to the general theory of operator algebras and the second to the applications. This splitting into theory and applications is conventional but somewhat arbitrary. In the last 15-20 years mathematical physicists have realized the importance of operator algebras and their states and automorphisms for problems of field theory and statistical mechanics. But the theory of 20 years aga was largely developed for the analysis of group representations and it was inadequate for many physical applications. Thus after a short honey moon period in which the new found tools of the extant theory were applied to the most amenable problems a longer and more interesting period ensued in which mathematical physicists were forced to redevelop the theory in relevant directions. New concepts were introduced, e. g. asymptotic abelian ness and KMS states, new techniques applied, e. g. the Choquet theory of barycentric decomposition for states, and new structural results obtained, e. g. the existence of a continuum of nonisomorphic type-three factors.

Operator Algebras and Applications

Author : Toke M. Carlsen
Publisher : Springer
ISBN 13 : 3319392867
Total Pages : 350 pages
Book Rating : 4.3/5 (193 download)

DOWNLOAD NOW!

Book Synopsis Operator Algebras and Applications by : Toke M. Carlsen

Download or read book Operator Algebras and Applications written by Toke M. Carlsen and published by Springer. This book was released on 2016-07-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject. The field of operator algebras was created in the 1930s and was motivated by problems of quantum mechanics. It has subsequently developed well beyond its initial intended realm of applications and expanded into such diverse areas of mathematics as representation theory, dynamical systems, differential geometry, number theory and quantum algebra. One branch, known as “noncommutative geometry”, has become a powerful tool for studying phenomena that are beyond the reach of classical analysis. This volume includes research papers that present new results, surveys that discuss the development of a specific line of research, and articles that offer a combination of survey and research. These contributions provide a multifaceted portrait of beautiful mathematics that both newcomers to the field of operator algebras and seasoned researchers alike will appreciate.

Group Representations in Mathematics and Physics

Author : Valentine Bargmann
Publisher : Springer
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.:/5 (37 download)

DOWNLOAD NOW!

Book Synopsis Group Representations in Mathematics and Physics by : Valentine Bargmann

Download or read book Group Representations in Mathematics and Physics written by Valentine Bargmann and published by Springer. This book was released on 1970-01-02 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unitary Group Representations in Physics, Probability, and Number Theory

Author : George Whitelaw Mackey
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.4/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Unitary Group Representations in Physics, Probability, and Number Theory by : George Whitelaw Mackey

Download or read book Unitary Group Representations in Physics, Probability, and Number Theory written by George Whitelaw Mackey and published by Addison Wesley Publishing Company. This book was released on 1989 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A User's Guide to Operator Algebras

Author : Peter A. Fillmore
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis A User's Guide to Operator Algebras by : Peter A. Fillmore

Download or read book A User's Guide to Operator Algebras written by Peter A. Fillmore and published by Wiley-Interscience. This book was released on 1996-04-19 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of operator algebras has experienced tremendous growth in recent years with significant applications to areas within algebraic mathematics as well as allied areas such as single operator theory, non-self-adjoint operator algegras, K-theory, knot theory, ergodic theory, and mathematical physics. This book makes recent developments in operator algebras accessible to the non-specialist.

Ergodic Theorems for Group Actions

Author : A.A. Tempelman
Publisher : Springer Science & Business Media
ISBN 13 : 9401714606
Total Pages : 418 pages
Book Rating : 4.4/5 (17 download)

DOWNLOAD NOW!

Book Synopsis Ergodic Theorems for Group Actions by : A.A. Tempelman

Download or read book Ergodic Theorems for Group Actions written by A.A. Tempelman and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the n-dimensional Euclidean and Lobachevsky spaces with n>=2, and all simple Lie groups with finite centre are examples of such spaces. Also dealt with are applications of general ergodic theorems for the construction of specific informational and thermodynamical characteristics of homogeneous random fields on amenable groups and for proving general versions of the McMillan, Breiman and Lee-Yang theorems. A variational principle which characterizes the Gibbsian homogeneous random fields in terms of the specific free energy is also proved. The book has eight chapters, a number of appendices and a substantial list of references. For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics.

Groups and Symmetries

Author : Yvette Kosmann-Schwarzbach
Publisher : Springer Nature
ISBN 13 : 3030943607
Total Pages : 266 pages
Book Rating : 4.0/5 (39 download)

DOWNLOAD NOW!

Book Synopsis Groups and Symmetries by : Yvette Kosmann-Schwarzbach

Download or read book Groups and Symmetries written by Yvette Kosmann-Schwarzbach and published by Springer Nature. This book was released on 2022-07-16 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: - Combines material from many areas of mathematics, including algebra, geometry, and analysis, so students see connections between these areas - Applies material to physics so students appreciate the applications of abstract mathematics - Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates - Includes 142 exercises, many with hints or complete solutions, so text may be used in the classroom or for self study

Theory of Operator Algebras II

Author : Masamichi Takesaki
Publisher : Springer Science & Business Media
ISBN 13 : 3662104512
Total Pages : 537 pages
Book Rating : 4.6/5 (621 download)

DOWNLOAD NOW!

Book Synopsis Theory of Operator Algebras II by : Masamichi Takesaki

Download or read book Theory of Operator Algebras II written by Masamichi Takesaki and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with Theory of Operator Algebras I and III, this book presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. From the reviews: "These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." --ACTA SCIENTIARUM MATHEMATICARUM

Operators and Representation Theory

Author : P.E.T. Jorgensen
Publisher : Elsevier
ISBN 13 : 0080872581
Total Pages : 347 pages
Book Rating : 4.0/5 (88 download)

DOWNLOAD NOW!

Book Synopsis Operators and Representation Theory by : P.E.T. Jorgensen

Download or read book Operators and Representation Theory written by P.E.T. Jorgensen and published by Elsevier. This book was released on 1987-12-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, operator theory and representation theory both originated with the advent of quantum mechanics. The interplay between the subjects has been and still is active in a variety of areas.This volume focuses on representations of the universal enveloping algebra, covariant representations in general, and infinite-dimensional Lie algebras in particular. It also provides new applications of recent results on integrability of finite-dimensional Lie algebras. As a central theme, it is shown that a number of recent developments in operator algebras may be handled in a particularly elegant manner by the use of Lie algebras, extensions, and projective representations. In several cases, this Lie algebraic approach to questions in mathematical physics and C*-algebra theory is new; for example, the Lie algebraic treatment of the spectral theory of curved magnetic field Hamiltonians, the treatment of irrational rotation type algebras, and the Virasoro algebra.Also examined are C*-algebraic methods used (in non-traditional ways) in the study of representations of infinite-dimensional Lie algebras and their extensions, and the methods developed by A. Connes and M.A. Rieffel for the study of the Yang-Mills problem.Cutting across traditional separations between fields of specialization, the book addresses a broad audience of graduate students and researchers.