Von Neumann Algebras
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Von Neumann Algebras
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Author : Jacques Dixmier
language : en
Publisher: North-Holland
Release Date : 1981
Von Neumann Algebras written by Jacques Dixmier and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Lectures On Von Neumann Algebras
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Author : Șerban Strătilă
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09
Lectures On Von Neumann Algebras written by Șerban Strătilă and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Mathematics categories.
The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.
Actions Of Discrete Amenable Groups On Von Neumann Algebras
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Author : Adrian Ocneanu
language : en
Publisher: Springer
Release Date : 2006-12-08
Actions Of Discrete Amenable Groups On Von Neumann Algebras written by Adrian Ocneanu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Duality For Crossed Products Of Von Neumann Algebras
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Author : Y. Nakagami
language : en
Publisher: Springer
Release Date : 2006-11-15
Duality For Crossed Products Of Von Neumann Algebras written by Y. Nakagami and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
An Invitation To Von Neumann Algebras
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Author : V.S. Sunder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Invitation To Von Neumann Algebras written by V.S. Sunder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Why This Book: The theory of von Neumann algebras has been growing in leaps and bounds in the last 20 years. It has always had strong connections with ergodic theory and mathematical physics. It is now beginning to make contact with other areas such as differential geometry and K-Theory. There seems to be a strong case for putting together a book which (a) introduces a reader to some of the basic theory needed to appreciate the recent advances, without getting bogged down by too much technical detail; (b) makes minimal assumptions on the reader's background; and (c) is small enough in size to not test the stamina and patience of the reader. This book tries to meet these requirements. In any case, it is just what its title proclaims it to be -- an invitation to the exciting world of von Neumann algebras. It is hoped that after perusing this book, the reader might be tempted to fill in the numerous (and technically, capacious) gaps in this exposition, and to delve further into the depths of the theory. For the expert, it suffices to mention here that after some preliminaries, the book commences with the Murray - von Neumann classification of factors, proceeds through the basic modular theory to the III). classification of Connes, and concludes with a discussion of crossed-products, Krieger's ratio set, examples of factors, and Takesaki's duality theorem.
Crossed Products Of Von Neumann Algebras By Equivalence Relations And Their Subalgebras
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Author : Igor Fulman
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Crossed Products Of Von Neumann Algebras By Equivalence Relations And Their Subalgebras written by Igor Fulman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
In this book, the author introduces and studies the construction of the crossed product of a von Neumann algebra. This construction is the generalization of the construction of the crossed product of an abelian von Neumann algebra by an equivalence relation introduced by J. Feldman and C. C. Moore. Many properties of this construction are proved in the general case. In addition, the generalizations of the Spectral Theorem on Bimodules and of the theorem on dilations are proved.
Tensor Categories And Endomorphisms Of Von Neumann Algebras
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Author : Marcel Bischoff
language : en
Publisher: Springer
Release Date : 2015-01-13
Tensor Categories And Endomorphisms Of Von Neumann Algebras written by Marcel Bischoff and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-13 with Science categories.
C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet. They are the underlying unifying concept for homomorphisms of (properly infinite) von Neumann algebras and representations of quantum observables. The present introductory text reviews the basic notions and their cross-relations in different contexts. The focus is on Q-systems that serve as complete invariants, both for subfactors and for extensions of quantum field theory models. It proceeds with various operations on Q-systems (several decompositions, the mirror Q-system, braided product, centre and full centre of Q-systems) some of which are defined only in the presence of a braiding. The last chapter gives a brief exposition of the relevance of the mathematical structures presented in the main body for applications in Quantum Field Theory (in particular two-dimensional Conformal Field Theory, also with boundaries or defects).
Operator Algebras
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Author : Bruce Blackadar
language : en
Publisher: Taylor & Francis
Release Date : 2006
Operator Algebras written by Bruce Blackadar and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
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.
Lectures On Von Neumann Algebras
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Author : David M. Topping
language : en
Publisher:
Release Date : 1969
Lectures On Von Neumann Algebras written by David M. Topping and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Theory Of Operator Algebras Ii
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Author : Masamichi Takesaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-11-01
Theory Of Operator Algebras Ii written by Masamichi Takesaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-01 with Mathematics categories.
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