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Advanced Courses in Mathematics - CRM Barcelona

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

Authors: Sims, Aidan, Szabó, Gábor, WILLIAMS, DANA

Editors: Perera, Francesc (Ed.)

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  • 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
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About this Textbook

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.

About the authors

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.

Table of contents (17 chapters)

Table of contents (17 chapters)
  • What is a Crossed Product?

    Pages 5-16

    Sims, Aidan (et al.)

  • Induced Representations and Imprimitivity Theorems

    Pages 17-27

    Sims, Aidan (et al.)

  • Ideal Structure

    Pages 29-36

    Sims, Aidan (et al.)

  • Type Theory, Actions on the Compacts and the Effros–Hahn Theory

    Pages 37-44

    Sims, Aidan (et al.)

  • Tensor Products, K-Theory and Rotation Algebras

    Pages 45-52

    Sims, Aidan (et al.)

Buy this book

eBook $19.99
price for USA in USD
  • ISBN 978-3-030-39713-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $29.99
price for USA in USD
  • ISBN 978-3-030-39712-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension
Authors
Editors
  • Francesc Perera
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-39713-5
DOI
10.1007/978-3-030-39713-5
Softcover ISBN
978-3-030-39712-8
Series ISSN
2297-0304
Edition Number
1
Number of Pages
X, 163
Number of Illustrations
1 b/w illustrations, 1 illustrations in colour
Topics

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