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Titlebook: Crossed Products of C*-Algebras, Topological Dynamics, and Classification; Thierry Giordano,David Kerr,Andrew Toms,Francesc P Textbook 201

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书目名称Crossed Products of C*-Algebras, Topological Dynamics, and Classification
编辑Thierry Giordano,David Kerr,Andrew Toms,Francesc P
视频video
概述Provides a solid introduction to the theory of topological dynamics and crossed products.Contains a large collection of examples and explicit computations.Shows developments in topological orbit equiv
丛书名称Advanced Courses in Mathematics - CRM Barcelona
图书封面Titlebook: Crossed Products of C*-Algebras, Topological Dynamics, and Classification;  Thierry Giordano,David Kerr,Andrew Toms,Francesc P Textbook 201
描述.This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matemàtica (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 attentionto the classification of minimal actions by finitely generated abelian groups on the Cantor set..
出版日期Textbook 2018
关键词Cuntz semigroup; topological dynamics; crossed products; approximation; paradoxicality
版次1
doihttps://doi.org/10.1007/978-3-319-70869-0
isbn_softcover978-3-319-70868-3
isbn_ebook978-3-319-70869-0Series ISSN 2297-0304 Series E-ISSN 2297-0312
issn_series 2297-0304
copyrightSpringer International Publishing AG, part of Springer Nature 2018
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发表于 2025-3-21 22:25:17 | 显示全部楼层
Structure of the Cuntz Semigroupitions on your .*-algebra. For this section, we restrict our attention to unital simple separable .*-algebras which have strict comparison of positive elements. In light of Example 2.0.5, we will also assume that our algebra is stably finite, since the Cuntz semigroup is otherwise degenerate. This m
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Elliott’s Programigroup V(.) under the Grothendieck map, . is the subset of K. corresponding to projections in ., T.(.) is the space of positive tracial linear functionals on ., and . is the natural pairing of T.(.) and K. given by evaluating a trace at a K.-class. The reader is referred to Rørdam’s monograph [27] f
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Introductionompact spaces, especially in connection with the classification program for separable nuclear .*-algebras. Groups and group actions have from the beginning provided a rich source of examples in the theory of operator algebras, and the struggle to obtain an algebraic understanding of dynamical phenom
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