Title: Étale groupoids and their $C^*$-algebras,
Abstract: These notes were written as supplementary material for a five-hour lecture
series presented at the Centre de Recerca Mathemàtica at the Universitat
Autònoma de Barcelona from the 13th to the 17th of March 2017. The intention
of these notes is to give a brief overview of some key topics in the area of
$C^*$-algebras associated to étale groupoids. The scope has been deliberately
contained to the case of étale groupoids with the intention that much of the
representation-theoretic technology and measure-theoretic analysis required to
handle general groupoids can be suppressed in this simpler setting.
A published version of these notes will appear in the volume tentatively
titled "Operator algebras and dynamics: groupoids, crossed products and Rokhlin
dimension" by Gabor Szabo, Dana P. Williams and myself, and edited by Francesc
Perera, in the series "Advanced Courses in Mathematics. CRM Barcelona." The
pagination of this arXiv version is not identical to Birkhäuser's style, but
I have tried to make it close. The theorem numbering should be correct. I'm
grateful to the CRM and Birkhäuser for allowing me to post a version on
arXiv.