Groupoid Homology

Eduardo Scarparo

Monday 13th June, 2022 13:00-14:00 St Andrews 202

Abstract

 We will present the definition of homology of étale totally disconnected groupoids and give a direct proof of the fact that the first homology group of the transformation groupoid of a Cantor minimal Z-system is Z. We will also present examples of groupoids G_1 and G_2 with isomorphic simple C*-algebras but which have different homology groups (hence are non-isomorphic).

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