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Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension: Advanced Courses in Mathematics - CRM Barcelona

Autor Aidan Sims, Gábor Szabó, Dana Williams Editat de Francesc Perera
en Limba Engleză Paperback – 23 iun 2020
This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of three series of lectures. The first one was given by Dana Williams (Dartmouth College), and served as an introduction to crossed products of C*-algebras and the study of their structure. The second series of lectures was delivered by Aidan Sims (Wollongong), who gave an overview of the theory of topological groupoids (as a model for groups and group actions) and groupoid C*-algebras, with particular emphasis on the case of étale groupoids. Finally, the last series was delivered by Gábor Szabó (Copenhagen), and consisted of an introduction to Rokhlin type properties (mostly centered around the work of Hirshberg, Winter and Zacharias) with hints to the more advanced theory related to groupoids.
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Specificații

ISBN-13: 9783030397128
ISBN-10: 3030397122
Pagini: 163
Ilustrații: X, 163 p. 2 illus., 1 illus. in color.
Dimensiuni: 168 x 240 mm
Greutate: 0.45 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Advanced Courses in Mathematics - CRM Barcelona

Locul publicării:Cham, Switzerland

Cuprins

A primer on Crossed Products (Dana P. Williams).- Hausdorff étale groupoids and their C*-algebras (Aidan Sims).- Introduction to Rokhlin dimension (Gábor Szabó).

Notă biografică

Aidan Sims is a professor at the University of Wollongong in Australia.
Gábor Szabó is a research professor at KU Leuven in Belgium.
Dana P. Williams is a professor of mathematics at the Dartmouth College in Hanover, USA.

Textul de pe ultima copertă

This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of three series of lectures. The first one was given by Dana Williams (Dartmouth College), and served as an introduction to crossed products of C*-algebras and the study of their structure. The second series of lectures was delivered by Aidan Sims (Wollongong), who gave an overview of the theory of topological groupoids (as a model for groups and group actions) and groupoid C*-algebras, with particular emphasis on the case of étale groupoids. Finally, the last series was delivered by Gábor Szabó (Copenhagen), and consisted of an introduction to Rokhlin type properties (mostly centered around the work of Hirshberg, Winter and Zacharias) with hints to the more advanced theory related to groupoids.

Caracteristici

Gives a general structure of crossed products of C*-algebras Provides an elementary theory of étale Hausdorff groupoids Discusses the Rokhlin property and Rokhlin dimension for actions of finite groups and the integers