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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 Matematica (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 etale groupoids. Finally, the last series was delivered by
Gabor Szabo (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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