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Operator algebras and their applications / [edited by] Robert S. Doran and Efton Park.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 671Publication details: Providence : American Mathematical Society, ©2016.Description: xii, 267 pages : illustrations ; 26 cmISBN:
  • 9781470419486 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
Exactness and the Kadison-Kaplansky conjecture / Paul Baum, Erik Guentner and Rufus Willett -- Generalization of C*-algebra methods via real positivity for operator and Banach algebras / David P. Blecher -- Higher weak derivatives and reflexive algebras of operators / Erik Christensen -- Parabolic induction, categories of representations and operator spaces / Tyrone Crisp and Nigel Higson -- Spectral multiplicity and odd K-theory-II / Ronald G. Douglas and Jerome Kaminker -- On the classification of simple amenable C*-algebras with finite decomposition rank / George A. Elliott and Zhuang Niu -- Topology of natural numbers and entropy of arithmetic functions / Liming Ge -- Properness conditions for actions and coactions / S. Kaliszewski, Magnus B. Landstad and John Quigg -- Reflexivity of Murray-von Neumann algebras / Zhe Liu -- Hochschild cohomology for tensor products of factors / Florin Pop and Roger R. Smith -- On the optimal paving over MASAs in von Neumann algebras / Sorin Popa and Stefaan Vaes -- Matricial bridges for "Matrix algebras converge to the sphere" / Marc A. Rieffel -- Structure and applications of real C*-algebras / Jonathan Rosenberg -- Separable states, maximally entangled states, and positive maps / Erling Stormer --
Summary: This 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.
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Includes bibliographical references.

Exactness and the Kadison-Kaplansky conjecture / Paul Baum, Erik Guentner and Rufus Willett -- Generalization of C*-algebra methods via real positivity for operator and Banach algebras / David P. Blecher -- Higher weak derivatives and reflexive algebras of operators / Erik Christensen -- Parabolic induction, categories of representations and operator spaces / Tyrone Crisp and Nigel Higson -- Spectral multiplicity and odd K-theory-II / Ronald G. Douglas and Jerome Kaminker -- On the classification of simple amenable C*-algebras with finite decomposition rank / George A. Elliott and Zhuang Niu -- Topology of natural numbers and entropy of arithmetic functions / Liming Ge -- Properness conditions for actions and coactions / S. Kaliszewski, Magnus B. Landstad and John Quigg -- Reflexivity of Murray-von Neumann algebras / Zhe Liu -- Hochschild cohomology for tensor products of factors / Florin Pop and Roger R. Smith -- On the optimal paving over MASAs in von Neumann algebras / Sorin Popa and Stefaan Vaes -- Matricial bridges for "Matrix algebras converge to the sphere" / Marc A. Rieffel -- Structure and applications of real C*-algebras / Jonathan Rosenberg -- Separable states, maximally entangled states, and positive maps / Erling Stormer --

This 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.

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