Reconstruction of groupoids, and classification of Fell algebras

Abstract: I will the history of reconstruction of groupoids from pairs of operator algebras, from Feldman and Moore’s results on von Neumann algebras through Kumjian’s and then Renault’s results about C*-algebras of twists, and including some recent results about groupoids that are not topologically principal. I will finish by outlining how Kumjian’s theory leads to a Dixmier-Douady classification theorem for Fell algebras.

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.