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Author Giordano, Thierry,
Title Crossed products of C*-algebras, topological dynamics, and classification / Thierry Giordano, David Kerr, N. Christopher Phillips, Andrew Toms ; editor for this volume Francesc Perera.
Imprint Cham : Birkhauser, 2018.

View online
View online
Author Giordano, Thierry,
Series Advanced courses in mathematics, CRM Barcelona, 2297-0304
Advanced courses in mathematics, CRM Barcelona. 2297-0304
Subject C*-algebras.
Alt Name Kerr, David, 1971-
Phillips, N. Christopher (Norman Christopher), 1956-
Toms, Andrew,
Perera, Francesc, 1970-
Description 1 online resource (x, 498 pages).
polychrome rdacc
Bibliography Note Includes bibliographical references.
Contents The Cuntz semigroup and the classification of C*-algebras -- Andrew S. Toms -- An introduction to crossed product C*-algebras and minimal dynamics -- N. Christopher Phillips -- C*-algebras and topological dynamics: finite approximation and paradoxicality -- David Kerr -- Minimal topological systems and orbit equivalence -- Thierry Giordano.
Summary This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matematica (CRM) in Barcelona. The notes consist of four series of lectures. The first one, given by Andrew Toms, presents the basic properties of the Cuntz semigroup and its role in the classification program of simple, nuclear, separable C*-algebras. The second series of lectures, delivered by N. Christopher Phillips, serves as an introduction to group actions on C*-algebras and their crossed products, with emphasis on the simple case and when the crossed products are classifiable. The third one, given by David Kerr, treats various developments related to measure-theoretic and topological aspects of crossed products, focusing on internal and external approximation concepts, both for groups and C*-algebras. Finally, the last series of lectures, delivered by Thierry Giordano, is devoted to the theory of topological orbit equivalence, with particular attention to the classification of minimal actions by finitely generated abelian groups on the Cantor set.
Note Online resource; title from PDF title page (SpringerLink, viewed September 10, 2018).
ISBN 9783319708690 (electronic bk.)
3319708694 (electronic bk.)
9783319708683 (print)
ISBN/ISSN 10.1007/978-3-319-70869-0
OCLC # 1051182497
Additional Format Original 3319708686 9783319708683 (OCoLC)1006492840

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