Pushouts of groupoid extensions by abelian group bundles

Abstract: Given a groupoid extension of a locally compact Hausdorff groupoid by a bundle of abelian groups on which it acts, we construct a pushout twist over the groupoid semidirect product of the groupoid acting on the dual of the bundle regarded as a topological space. We then show that the C*-algebra of the original extension groupoid is isomorphic to the twisted groupoid associated to the pushout. We will also discuss examples. This talk is based on current joint work with Marius Ionescu, Jean Renault, Aidan Sims and Dana Williams.

operator algebras

Audience: researchers in the topic

Western Sydney, IPM joint workshop on Operator Algebras

Series comments: No formal registration is needed, but to be added to the mailing list you may send your name and affiliation to Massoud Amini (mamini@ipm.ir or mamini@modares.ac.ir). The Zoom channel is protected. Please write to the organizers to get a password.