Structure of Factors and Automorphism Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807013
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Structure of Factors and Automorphism Groups by : Masamichi Takesaki

Download or read book Structure of Factors and Automorphism Groups written by Masamichi Takesaki and published by American Mathematical Soc.. This book was released on 1983-12-31 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the recent development in the structure theory of von Neumann algebras and their automorphism groups. It can be viewed as a guided tour to the state of the art.

Structure of Partially Ordered Sets with Transitive Automorphism Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821823353
Total Pages : 109 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Structure of Partially Ordered Sets with Transitive Automorphism Groups by : Manfred Droste

Download or read book Structure of Partially Ordered Sets with Transitive Automorphism Groups written by Manfred Droste and published by American Mathematical Soc.. This book was released on 1985 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structure of Partially Ordered Sets Wih Transitive Automorphism Groups

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Publisher :
ISBN 13 : 9781470407476
Total Pages : 100 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Structure of Partially Ordered Sets Wih Transitive Automorphism Groups by : Manfred Droste

Download or read book Structure of Partially Ordered Sets Wih Transitive Automorphism Groups written by Manfred Droste and published by . This book was released on 1985 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Jordan, Real and Lie Structures in Operator Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 9401586055
Total Pages : 239 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Jordan, Real and Lie Structures in Operator Algebras by : Sh. Ayupov

Download or read book Jordan, Real and Lie Structures in Operator Algebras written by Sh. Ayupov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of operator algebras acting on a Hilbert space was initiated in thirties by papers of Murray and von Neumann. In these papers they have studied the structure of algebras which later were called von Neu mann algebras or W* -algebras. They are weakly closed complex *-algebras of operators on a Hilbert space. At present the theory of von Neumann algebras is a deeply developed theory with various applications. In the framework of von Neumann algebras theory the study of fac tors (i.e. W* -algebras with trivial centres) is very important, since they are comparatively simple and investigation of general W* -algebras can be reduced to the case of factors. Therefore the theory of factors is one of the main tools in the structure theory of von Neumann algebras. In the middle of sixtieth Topping [To 1] and Stormer [S 2] have ini tiated the study of Jordan (non associative and real) analogues of von Neumann algebras - so called JW-algebras, i.e. real linear spaces of self adjoint opera.tors on a complex Hilbert space, which contain the identity operator 1. closed with respect to the Jordan (i.e. symmetrised) product INTRODUCTION 2 x 0 y = ~(Xy + yx) and closed in the weak operator topology. The structure of these algebras has happened to be close to the struc ture of von Neumann algebras and it was possible to apply ideas and meth ods similar to von Neumann algebras theory in the study of JW-algebras.

Structure Theory for Canonical Classes of Finite Groups

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Publisher : Springer
ISBN 13 : 3662457474
Total Pages : 369 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Structure Theory for Canonical Classes of Finite Groups by : Wenbin Guo

Download or read book Structure Theory for Canonical Classes of Finite Groups written by Wenbin Guo and published by Springer. This book was released on 2015-04-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications. In particular, the related systematic theories are considered and some new approaches and research methods are described – e.g., the F-hypercenter of groups, X-permutable subgroups, subgroup functors, generalized supplementary subgroups, quasi-F-group, and F-cohypercenter for Fitting classes. At the end of each chapter, we provide relevant supplementary information and introduce readers to selected open problems.

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

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

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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.

Classification of Actions of Discrete Kac Algebras on Injective Factors

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Publisher : American Mathematical Soc.
ISBN 13 : 1470420554
Total Pages : 118 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Classification of Actions of Discrete Kac Algebras on Injective Factors by : Toshihiko Masuda

Download or read book Classification of Actions of Discrete Kac Algebras on Injective Factors written by Toshihiko Masuda and published by American Mathematical Soc.. This book was released on 2017-01-18 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. They construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, the authors show that the Connes–Takesaki module is a complete invariant.

Model Theory of Groups and Automorphism Groups

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Publisher : Cambridge University Press
ISBN 13 : 052158955X
Total Pages : 232 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Model Theory of Groups and Automorphism Groups by : David M. Evans

Download or read book Model Theory of Groups and Automorphism Groups written by David M. Evans and published by Cambridge University Press. This book was released on 1997-07-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys recent interactions between model theory and other branches of mathematics, notably group theory.

Finite Structures with Few Types

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Publisher : Princeton University Press
ISBN 13 : 0691113327
Total Pages : 201 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Finite Structures with Few Types by : Gregory L. Cherlin

Download or read book Finite Structures with Few Types written by Gregory L. Cherlin and published by Princeton University Press. This book was released on 2003 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book applies model theoretic methods to the study of certain finite permutation groups, the automorphism groups of structures for a fixed finite language with a bounded number of orbits on 4-tuples. Primitive permutation groups of this type have been classified by Kantor, Liebeck, and Macpherson, using the classification of the finite simple groups. Building on this work, Gregory Cherlin and Ehud Hrushovski here treat the general case by developing analogs of the model theoretic methods of geometric stability theory. The work lies at the juncture of permutation group theory, model theory, classical geometries, and combinatorics. The principal results are finite theorems, an associated analysis of computational issues, and an "intrinsic" characterization of the permutation groups (or finite structures) under consideration. The main finiteness theorem shows that the structures under consideration fall naturally into finitely many families, with each family parametrized by finitely many numerical invariants (dimensions of associated coordinating geometries). The authors provide a case study in the extension of methods of stable model theory to a nonstable context, related to work on Shelah's "simple theories." They also generalize Lachlan's results on stable homogeneous structures for finite relational languages, solving problems of effectivity left open by that case. Their methods involve the analysis of groups interpretable in these structures, an analog of Zilber's envelopes, and the combinatorics of the underlying geometries. Taking geometric stability theory into new territory, this book is for mathematicians interested in model theory and group theory.

Handbook of Product Graphs

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Publisher : CRC Press
ISBN 13 : 1439813051
Total Pages : 537 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Product Graphs by : Richard Hammack

Download or read book Handbook of Product Graphs written by Richard Hammack and published by CRC Press. This book was released on 2011-06-06 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book's website.

The Classification of the Finite Simple Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821809601
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Classification of the Finite Simple Groups by : Daniel Gorenstein

Download or read book The Classification of the Finite Simple Groups written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1994-11-18 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classification of the finite simple groups is one of the major feats of contemporary mathematical research, but its proof has never been completely extricated from the journal literature in which it first appeared. This book serves as an introduction to a series devoted to organizing and simplifying the proof. The purpose of the series is to present as direct and coherent a proof as is possible with existing techniques. This first volume, which sets up the structure for the entire series, begins with largely informal discussions of the relationship between the Classification Theorem and the general structure of finite groups, as well as the general strategy to be followed in the series and a comparison with the original proof. Also listed are background results from the literature that will be used in subsequent volumes. Next, the authors formally present the structure of the proof and the plan for the series of volumes in the form of two grids, giving the main case division of the proof as well as the principal milestones in the analysis of each case. Thumbnail sketches are given of the ten or so principal methods underlying the proof. Much of the book is written in an expository style accessible to nonspecialists.

Theory of Operator Algebras III

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Publisher : Springer Science & Business Media
ISBN 13 : 3662104539
Total Pages : 568 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Theory of Operator Algebras III by : Masamichi Takesaki

Download or read book Theory of Operator Algebras III written by Masamichi Takesaki and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "These three bulky volumes [EMS 124, 125, 127] [...] provide an introduction to this rapidly developing theory. [...] 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

Operator Algebras, Quantization, and Noncommutative Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834029
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Algebras, Quantization, and Noncommutative Geometry by : Robert S. Doran

Download or read book Operator Algebras, Quantization, and Noncommutative Geometry written by Robert S. Doran and published by American Mathematical Soc.. This book was released on 2004 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: John von Neumann and Marshall Stone were two giants of Twentieth Century mathematics. In honor of the 100th anniversary of their births, a mathematical celebration was organized featuring developments in fields where both men were major influences. This volume contains articles from the AMS Special Session, Operator Algebras, Quantization and Noncommutative Geometry: A Centennial Celebration in Honor of John von Neumann and Marshall H. Stone. Papers range from expository and refereed and cover a broad range of mathematical topics reflecting the fundamental ideas of von Neumann and Stone. Most contributions are expanded versions of the talks and were written exclusively for this volume. Included, among Also featured is a reprint of P.R. Halmos's The Legend of John von Neumann. The book is suitable for graduate students and researchers interested in operator algebras and applications, including noncommutative geometry.

Algebra

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Publisher : Elsevier
ISBN 13 : 1483222640
Total Pages : 843 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Algebra by : L. Rédei

Download or read book Algebra written by L. Rédei and published by Elsevier. This book was released on 2014-07-21 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compared with the original German edition this volume contains the results of more recent research which have to some extent originated from problems raised in the previous German edition. Moreover, many minor and some important modifications have been carried out. For example paragraphs 2 — 5 were amended and their order changed. On the advice of G. Pickert, paragraph 7 has been thoroughly revised. Many improvements originate from H. J. Weinert who, by enlisting the services of a working team of the Teachers' Training College of Potsdam, has subjected large parts of this book to an exact and constructive review. This applies particularly to paragraphs 9, 50, 51, 60, 63, 66, 79, 92, 94, 97 and 100 and to the exercises. In this connection paragraphs 64 and 79 have had to be partly rewritten in consequence of the correction

Graph Theory in Paris

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Publisher : Springer Science & Business Media
ISBN 13 : 3764374004
Total Pages : 387 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Graph Theory in Paris by : Adrian Bondy

Download or read book Graph Theory in Paris written by Adrian Bondy and published by Springer Science & Business Media. This book was released on 2006-12-22 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.

Mathematica Scandinavica

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Publisher :
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematica Scandinavica by :

Download or read book Mathematica Scandinavica written by and published by . This book was released on 2007 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of 2-Structures

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813105577
Total Pages : 308 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis The Theory of 2-Structures by : A Ehrenfeucht

Download or read book The Theory of 2-Structures written by A Ehrenfeucht and published by World Scientific Publishing Company. This book was released on 1999-08-30 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of 2-structures provides a convenient framework for decomposition and transformation of mathematical systems where one or several different binary relationships hold between the objects of the system. In particular, it forms a useful framework for decomposition and transformation of graphs. The decomposition methods presented in this book correspond closely to the top-down design methods studied in computer science. The transformation methods considered here have a natural interpretation in the dynamic evolution of certain kinds of communication networks. From the mathematical point of view, the clan decomposition method presented here, also known as modular decomposition or substitution decomposition, is closely related to the decomposition by quotients in algebra. The transformation method presented here is based on labelled 2-structures over groups, the theory of which generalizes the well-studied theory of switching classes of graphs. This book is both a text and a monograph. As a monograph, the results concerning the decomposition and transformation of 2-structures are presented in a unified way. In addition, detailed notes on references are provided at the end of each chapter. These notes allow the reader to trace the origin of many notions and results, and to browse through the literature in order to extend the material presented in the book. To facilitate its use as a textbook, there are numerous examples and exercises which provide an opportunity for the reader to check his or her understanding of the discussed material. Furthermore, the text begins with preliminaries on partial orders, semigroups, groups and graphs to the extent needed for the book. Request Inspection Copy