عنوان

Crossed products of C*-algebras, topological dynamics, and classification /

(Number (ISBN

3319708694

(Number (ISBN

9783319708690

Erroneous ISBN

3319708686

Erroneous ISBN

9783319708683

Title Proper

Crossed products of C*-algebras, topological dynamics, and classification /

General Material Designation

[Book]

First Statement of Responsibility

Thierry Giordano, David Kerr, N. Christopher Phillips, Andrew Toms ; editor for this volume Francesc Perera.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (x, 498 pages).

Series Title

Advanced courses in mathematics, CRM Barcelona,

ISSN of Series

2297-0304

Text of Note

Includes bibliographical references.

Text of Note

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.

0

Text of Note

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 attention to the classification of minimal actions by finitely generated abelian groups on the Cantor set.

International Standard Book Number

9783319708683

C*-algebras.

Functional Analysis.

C*-algebras.

Number

Edition

Class number

Giordano, Thierry

Kerr, David,1971-

Perera, Francesc,1970-

Phillips, N. Christopher, (Norman Christopher),1956-

Toms, Andrew

Date of Transaction

20200823103057.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y