Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension

Aidan Sims, Gábor Szabó, Dana Williams (Autoren)

Buch | Softcover

X, 163 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-39712-8 (ISBN)

Artikel merken

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.

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

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

Erscheinungsdatum	30.12.2019
Reihe/Serie	Advanced Courses in Mathematics - CRM Barcelona
Zusatzinfo	X, 163 p. 2 illus., 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	168 x 240 mm
Gewicht	309 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	amenability • crossed products • nuclear dimension • Rokhlin dimension • topological groupoid, groupoid C -algebra • topological groupoid, groupoid C*-algebra
ISBN-10	3-030-39712-2 / 3030397122
ISBN-13	978-3-030-39712-8 / 9783030397128
Zustand	Neuware