On the Hochschild Cohomology for Von Neumann Algebras

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ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis On the Hochschild Cohomology for Von Neumann Algebras by : E. Christensen

Download or read book On the Hochschild Cohomology for Von Neumann Algebras written by E. Christensen and published by . This book was released on 1988 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hochschild Cohomology of Von Neumann Algebras

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Publisher :
ISBN 13 : 9781107362147
Total Pages : 206 pages
Book Rating : 4.3/5 (621 download)

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Book Synopsis Hochschild Cohomology of Von Neumann Algebras by : Allan M. Sinclair

Download or read book Hochschild Cohomology of Von Neumann Algebras written by Allan M. Sinclair and published by . This book was released on 2014-05-14 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The continuous Hochschild cohomology of dual normal modules over a von Neumann algebra is the subject of this book. The necessary technical results are developed assuming a familiarity with basic C*-algebra and von Neumann algebra theory, including the decomposition into two types, but no prior knowledge of cohomology theory is required and the theory of completely bounded and multilinear operators is given fully. Central to this book are those cases when the continuous Hochschild cohomology H[superscript n](M, M) of the von Neumann algebra M over itself is zero. The material in this book lies in the area common to Banach algebras, operator algebras and homological algebra, and will be of interest to researchers from these fields.

Hochschild Cohomology of Von Neumann Algebras

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Publisher : Cambridge University Press
ISBN 13 : 0521478804
Total Pages : 208 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Hochschild Cohomology of Von Neumann Algebras by : Allan M. Sinclair

Download or read book Hochschild Cohomology of Von Neumann Algebras written by Allan M. Sinclair and published by Cambridge University Press. This book was released on 1995-03-09 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory text intended to give the non-specialist a comprehensive insight into the science of biotransformations. The book traces the history of biotransformations, clearly spells out the pros and cons of conducting enzyme-mediated versus whole-cell bioconversions, and gives a variety of examples wherein the bio-reaction is a key element in a reaction sequence leading from cheap starting materials to valuable end products.

Deformation Theory of Algebras and Structures and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9400930577
Total Pages : 1024 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Deformation Theory of Algebras and Structures and Applications by : Michiel Hazewinkel

Download or read book Deformation Theory of Algebras and Structures and Applications written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphical-methodological pillars on which deformation theory rests are the fol lowing • (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" . • (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed).

Hochschild Cohomology for Algebras

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Publisher : American Mathematical Society
ISBN 13 : 1470462869
Total Pages : 265 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Hochschild Cohomology for Algebras by : Sarah J. Witherspoon

Download or read book Hochschild Cohomology for Algebras written by Sarah J. Witherspoon and published by American Mathematical Society. This book was released on 2020-06-30 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a thorough and self-contained introduction to the theory of Hochschild cohomology for algebras and includes many examples and exercises. The book then explores Hochschild cohomology as a Gerstenhaber algebra in detail, the notions of smoothness and duality, algebraic deformation theory, infinity structures, support varieties, and connections to Hopf algebra cohomology. Useful homological algebra background is provided in an appendix. The book is designed both as an introduction for advanced graduate students and as a resource for mathematicians who use Hochschild cohomology in their work.

Cyclic Homology in Non-Commutative Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540404699
Total Pages : 160 pages
Book Rating : 4.4/5 (46 download)

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Book Synopsis Cyclic Homology in Non-Commutative Geometry by : Joachim Cuntz

Download or read book Cyclic Homology in Non-Commutative Geometry written by Joachim Cuntz and published by Springer Science & Business Media. This book was released on 2003-11-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributions by three authors treat aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different points of view. The connections between (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. Cyclic theory is the natural setting for a variety of general abstract index theorems. A survey of such index theorems is given and the concepts and ideas involved in these theorems are explained.

Operator Algebras, Quantization, and Noncommutative Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834029
Total Pages : 422 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Algebras, Quantization, and Noncommutative Geometry by : Marshall Harvey Stone

Download or read book Operator Algebras, Quantization, and Noncommutative Geometry written by Marshall Harvey Stone and published by American Mathematical Soc.. This book was released on 2004 with total page 422 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 historical surveys to original research articles. All articles were carefully 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 others, are articles by George W. Mackey, Nigel Higson, and Marc Rieffel. Also featured is a reprint of P.R. Halmos' ""The Legend of John von Neumann"". The book is suitable for graduate students and researchers interested in operator algebras and applications, including noncommutative geometry.

Algebraic Methods in Operator Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461202558
Total Pages : 360 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Algebraic Methods in Operator Theory by : Raul E. Curto

Download or read book Algebraic Methods in Operator Theory written by Raul E. Curto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of operators stands at the intersection of the frontiers of modern analysis and its classical counterparts; of algebra and quantum mechanics; of spectral theory and partial differential equations; of the modern global approach to topology and geometry; of representation theory and harmonic analysis; and of dynamical systems and mathematical physics. The present collection of papers represents contributions to a conference, and they have been carefully selected with a view to bridging different but related areas of mathematics which have only recently displayed an unexpected network of interconnections, as well as new and exciting cross-fertilizations. Our unify ing theme is the algebraic view and approach to the study of operators and their applications. The complementarity between the diversity of topics on the one hand and the unity of ideas on the other has been stressed. Some of the longer contributions represent material from lectures (in expanded form and with proofs for the most part). However, the shorter papers, as well as the longer ones, are an integral part of the picture; they have all been carefully refereed and revised with a view to a unity of purpose, timeliness, readability, and broad appeal. Raul Curto and Paile E. T.

Finite Von Neumann Algebras and Masas

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Publisher : Cambridge University Press
ISBN 13 : 0521719194
Total Pages : 411 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Finite Von Neumann Algebras and Masas by : Allan Sinclair

Download or read book Finite Von Neumann Algebras and Masas written by Allan Sinclair and published by Cambridge University Press. This book was released on 2008-06-26 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to the general theory of finite von Neumann algebras.

Lectures on von Neumann Algebras

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Publisher : Cambridge University Press
ISBN 13 : 1108496849
Total Pages : 441 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Lectures on von Neumann Algebras by : Șerban Strătilă

Download or read book Lectures on von Neumann Algebras written by Șerban Strătilă and published by Cambridge University Press. This book was released on 2019-05-09 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.

Operator Algebras and Their Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 1470419483
Total Pages : 267 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Operator Algebras and Their Applications by : Robert S. Doran

Download or read book Operator Algebras and Their Applications written by Robert S. Doran and published by American Mathematical Soc.. This book was released on 2016-07-28 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.

Actions of Discrete Amenable Groups on von Neumann Algebras

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Publisher : Springer
ISBN 13 : 3540395792
Total Pages : 120 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Actions of Discrete Amenable Groups on von Neumann Algebras by : Adrian Ocneanu

Download or read book Actions of Discrete Amenable Groups on von Neumann Algebras written by Adrian Ocneanu and published by Springer. This book was released on 2006-12-08 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cyclic Cohomology at 40: Achievements and Future Prospects

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Publisher : American Mathematical Society
ISBN 13 : 1470469774
Total Pages : 592 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Cyclic Cohomology at 40: Achievements and Future Prospects by : A. Connes

Download or read book Cyclic Cohomology at 40: Achievements and Future Prospects written by A. Connes and published by American Mathematical Society. This book was released on 2023-02-23 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the virtual conference on Cyclic Cohomology at 40: Achievements and Future Prospects, held from September 27–October 1, 2021 and hosted by the Fields Institute for Research in Mathematical Sciences, Toronto, ON, Canada. Cyclic cohomology, since its discovery forty years ago in noncommutative differential geometry, has become a fundamental mathematical tool with applications in domains as diverse as analysis, algebraic K-theory, algebraic geometry, arithmetic geometry, solid state physics and quantum field theory. The reader will find survey articles providing a user-friendly introduction to applications of cyclic cohomology in such areas as higher categorical algebra, Hopf algebra symmetries, de Rham-Witt complex, quantum physics, etc., in which cyclic homology plays the role of a unifying theme. The researcher will find frontier research articles in which the cyclic theory provides a computational tool of great relevance. In particular, in analysis cyclic cohomology index formulas capture the higher invariants of manifolds, where the group symmetries are extended to Hopf algebra actions, and where Lie algebra cohomology is greatly extended to the cyclic cohomology of Hopf algebras which becomes the natural receptacle for characteristic classes. In algebraic topology the cyclotomic structure obtained using the cyclic subgroups of the circle action on topological Hochschild homology gives rise to remarkably significant arithmetic structures intimately related to crystalline cohomology through the de Rham-Witt complex, Fontaine's theory and the Fargues-Fontaine curve.

Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851276
Total Pages : 215 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory by : Robert S. Doran

Download or read book Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory written by Robert S. Doran and published by American Mathematical Soc.. This book was released on 1991 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers presented at the NSF/CBMS Regional Conference on Coordinates in Operator Algebras, held at Texas Christian University in Fort Worth in May 1990. During the conference, in addition to a series of ten lectures by Paul S. Muhly (which will be published in a CBMS Regional Conference Series volume), twenty-eight lectures were delivered by conference participants on a broad range of topics of current interest in operator algebras and operator theory. This volume contains slightly expanded versions of most of those lectures. Participants were encouraged to bring open problems to the conference, and, as a result, over one hundred problems and questions are scattered throughout this volume. Readers will appreciate this book for the overview it provides of current topics and methods of operator algebras and operator theory.

Continuous Crossed Products and Type III Von Neumann Algebras

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Publisher : Cambridge University Press
ISBN 13 : 0521219752
Total Pages : 81 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Continuous Crossed Products and Type III Von Neumann Algebras by : Alfons van Daele

Download or read book Continuous Crossed Products and Type III Von Neumann Algebras written by Alfons van Daele and published by Cambridge University Press. This book was released on 1978-07-20 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes, based on lectures given at the University of Newcastle upon Tyne, provide an introduction to the theory of von Neumann algebras.

Handbook of Algebra

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Publisher : Elsevier
ISBN 13 : 9780080532967
Total Pages : 896 pages
Book Rating : 4.5/5 (329 download)

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Book Synopsis Handbook of Algebra by : M. Hazewinkel

Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2000-04-06 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra

Operator Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 3540285172
Total Pages : 530 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Operator Algebras by : Bruce Blackadar

Download or read book Operator Algebras written by Bruce Blackadar and published by Springer Science & Business Media. This book was released on 2006-03-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, K-theory, and quasidiagonality. The presentation carefully and precisely explains the main features of each part of the theory of operator algebras; most important arguments are at least outlined and many are presented in full detail.