Crossed Products Of Operator Algebras
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Crossed Products Of Operator Algebras
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Author : Elias G. Katsoulis
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-04-10
Crossed Products Of Operator Algebras written by Elias G. Katsoulis 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 2019-04-10 with C*-algebras categories.
The authors study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. They develop an abstract theory that allows for generalizations of many of the fundamental results from the selfadjoint theory to our context. They complement their generic results with the detailed study of many important special cases. In particular they study crossed products of tensor algebras, triangular AF algebras and various associated C -algebras. They make contributions to the study of C -envelopes, semisimplicity, the semi-Dirichlet property, Takai duality and the Hao-Ng isomorphism problem. They also answer questions from the pertinent literature.
Operator Algebras And Dynamics Groupoids Crossed Products And Rokhlin Dimension
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Author : Aidan Sims
language : en
Publisher: Springer Nature
Release Date : 2020-06-22
Operator Algebras And Dynamics Groupoids Crossed Products And Rokhlin Dimension written by Aidan Sims and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-22 with Mathematics categories.
This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of three series of lectures. The first one was given by Dana Williams (Dartmouth College), and served as an introduction to crossed products of C*-algebras and the study of their structure. The second series of lectures was delivered by Aidan Sims (Wollongong), who gave an overview of the theory of topological groupoids (as a model for groups and group actions) and groupoid C*-algebras, with particular emphasis on the case of étale groupoids. Finally, the last series was delivered by Gábor Szabó (Copenhagen), and consisted of an introduction to Rokhlin type properties (mostly centered around the work of Hirshberg, Winter and Zacharias) with hints to the more advanced theory related to groupoids.
Semicrossed Products Of Operator Algebras By Semigroups
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Author : Kenneth R. Davidson
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-04-25
Semicrossed Products Of Operator Algebras By Semigroups written by Kenneth R. Davidson 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 2017-04-25 with Operator algebras categories.
The authors examine the semicrossed products of a semigroup action by -endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contractive endomorphisms. The choice of allowable representations affects the corresponding universal algebra. The authors seek quite general conditions which will allow them to show that the C*-envelope of the semicrossed product is (a full corner of) a crossed product of an auxiliary C*-algebra by a group action. Their analysis concerns a case-by-case dilation theory on covariant pairs. In the process we determine the C*-envelope for various semicrossed products of (possibly nonselfadjoint) operator algebras by spanning cones and lattice-ordered abelian semigroups.
Crossed Products Of C Algebras
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Author : Dana P. Williams
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Crossed Products Of C Algebras written by Dana P. Williams 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 2007 with Mathematics categories.
The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutative geometry and mathematical physics. This book provides a detailed introduction to this vast subject suitable for graduate students and others whose research has contact with crossed product $C*$-algebras. in addition to providing the basic definitions and results, the main focus of this book is the fine ideal structure of crossed products as revealed by the study of induced representations via the Green-Mackey-Rieffel machine. in particular, there is an in-depth analysis of the imprimitivity theorems on which Rieffel's theory of induced representations and Morita equivalence of $C*$-algebras are based. There is also a detailed treatment of the generalized Effros-Hahn conjecture and its proof due to Gootman, Rosenberg, and Sauvageot. This book is meant to be self-contained and accessible to any graduate student coming out of a first course on operator algebras. There are appendices that deal with ancillary subjects, which while not central to the subject, are nevertheless crucial for a complete understanding of the material. Some of the appendices will be of independent interest. to view another book by this author, please visit Morita Equivalence and Continuous-Trace $C*$-Algebras.
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.
Operator Algebras And Applications Part 1
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Author : Richard V. Kadison
language : en
Publisher: American Mathematical Soc.
Release Date : 1982
Operator Algebras And Applications Part 1 written by Richard V. Kadison 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 1982 with Mathematics categories.
Operator Algebras And Applications Volume 1 Structure Theory K Theory Geometry And Topology
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Author : David E. Evans
language : en
Publisher: Cambridge University Press
Release Date : 1988
Operator Algebras And Applications Volume 1 Structure Theory K Theory Geometry And Topology written by David E. Evans 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 1988 with Mathematics categories.
These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.
Recent Advances In Operator Theory And Operator Algebras
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Author : Hari Bercovici
language : en
Publisher: CRC Press
Release Date : 2017-08-07
Recent Advances In Operator Theory And Operator Algebras written by Hari Bercovici and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-07 with Mathematics categories.
This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.
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.
Fundamentals Of The Theory Of Operator Algebras Volume Ii
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Author : Richard V. Kadison
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Fundamentals Of The Theory Of Operator Algebras Volume Ii written by Richard V. Kadison 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.
Volume two of the two-volume set (see ISBN 0-8218-0819-2) covers the comparison theory of projection, normal states and unitary equivalence of von Newmann algebras, the trade, algebra and commutant, special representation of C*-algebras, tensor products, approximation by matrix algebras, crossed products, and direct integrals and decompositions. Originally published by Academic Press in 1986. Annotation copyrighted by Book News, Inc., Portland, OR