Continuous Crossed Products And Type Iii Von Neumann Algebras
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Continuous Crossed Products And Type Iii Von Neumann Algebras
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Author : Alfons van Daele
language : en
Publisher: Cambridge University Press
Release Date : 1978-07-20
Continuous Crossed Products And Type Iii Von Neumann Algebras written by Alfons van Daele 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 1978-07-20 with Mathematics categories.
These notes, based on lectures given at the University of Newcastle upon Tyne, provide an introduction to the theory of von Neumann algebras.
Continuous Crossed Products And Type Iii Von Neumann Algebras
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Author : Alfons van Daele
language : en
Publisher:
Release Date : 2014-05-14
Continuous Crossed Products And Type Iii Von Neumann Algebras written by Alfons van Daele and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
These notes, based on lectures given at the University of Newcastle upon Tyne, provide an introduction to the theory of von Neumann algebras.
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.
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.
Classification Of Nuclear C Algebras Entropy In Operator Algebras
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Author : M. Rordam
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Classification Of Nuclear C Algebras Entropy In Operator Algebras written by M. Rordam 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 2013-04-18 with Mathematics categories.
to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators of a Hilbert space which is closed in the weak operator topology. According to von Neumann's bicommutant theorem, M is closed in the weak operator topology if and only if it is equal to the commutant of its commutant. Afactor is a von Neumann algebra with trivial centre and the work of Murray and von Neumann contained a reduction of all von Neumann algebras to factors and a classification of factors into types I, II and III. C* -algebras are self-adjoint operator algebras on Hilbert space which are closed in the norm topology. Their study was begun in the work of Gelfand and Naimark who showed that such algebras can be characterized abstractly as involutive Banach algebras, satisfying an algebraic relation connecting the norm and the involution. They also obtained the fundamental result that a commutative unital C* -algebra is isomorphic to the algebra of complex valued continuous functions on a compact space - its spectrum. Since then the subject of operator algebras has evolved into a huge mathematical endeavour interacting with almost every branch of mathematics and several areas of theoretical physics.
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.
Duality For Crossed Products Of Von Neumann Algebras
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Author : Y. Nakagami
language : en
Publisher:
Release Date : 2014-01-15
Duality For Crossed Products Of Von Neumann Algebras written by Y. Nakagami and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Fundamentals Of The Theory Of Operator Algebras V2
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Author :
language : en
Publisher: Academic Press
Release Date : 1986-06-10
Fundamentals Of The Theory Of Operator Algebras V2 written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-06-10 with Mathematics categories.
Fundamentals of the Theory of Operator Algebras. V2
Modular Theory In Operator Algebras
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Author : Serban Stratila
language : en
Publisher: Cambridge University Press
Release Date : 2020-12-03
Modular Theory In Operator Algebras written by Serban Stratila 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 2020-12-03 with Mathematics categories.
The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsid ) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.
Duality For Crossed Products Of Von Neumann Algebras
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Author : Y. Nakagami
language : en
Publisher: Springer
Release Date : 1979-08-01
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 1979-08-01 with Mathematics categories.