Operator Algebras and Dynamics: Groupoids,...

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2020
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Advanced Courses in Mathematics - CRM Barcelona
Inhalt:	x 163 S. 1 s/w Illustr. 1 farbige Illustr. 163 p. 2 illus. 1 illus. in color.
ISBN-13:	9783030397128
ISBN-10:	3030397122
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Sims, Aidan Szabó, Gábor Williams, Dana
Redaktion:	Perera, Francesc
Herausgeber:	Francesc Perera
Auflage:	1st ed. 2020
Hersteller:	Springer International Publishing Springer International Publishing AG Advanced Courses in Mathematics - CRM Barcelona
Maße:	240 x 168 x 10 mm
Von/Mit:	Aidan Sims (u. a.)
Erscheinungsdatum:	23.06.2020
Gewicht:	0,307 kg

Artikel-ID: 117907792