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Crossed Products of C*-Algebras, Topological Dynamics, and Classification (Advanced Courses in Mathematics - CRM Barcelona)

De (autor) , , , Editat de Francesc Perera
Notă GoodReads:
en Limba Engleză Carte Paperback – 06 Sep 2018
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.
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Specificații

ISBN-13: 9783319708683
ISBN-10: 3319708686
Pagini: 498
Dimensiuni: 168 x 240 x 28 mm
Greutate: 0.87 kg
Ediția: 1st ed. 2018
Editura: Springer
Colecția Birkhäuser
Seria Advanced Courses in Mathematics - CRM Barcelona

Locul publicării: Cham, Switzerland

Cuprins

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.

Notă biografică

Thierry Giordano is a Professor at the University of Ottawa, Canada.
David Kerr is a Professor at the Texas A&M University in College Station, TX, USA.
N. Christopher Phillips is a Professor at the University of Oregon in Eugene, OR, USA.
Andrew S. Toms is a Professor at the Purdue University in West Lafayette, IN, USA.

Textul de pe ultima copertă

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.

Caracteristici

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 equivalence, particularly treating the classification of minimal actions of finitely generated abelian groups on the Cantor set