Amenability for actions of groups on C*-algebras

Abstract: In this lecture I will explain recent developments in the theory of amenability for actions of groups on C*-algebras and Fell bundles, based on joint works with Siegfried Echterhoff, Rufus Willett, Fernando Abadie and Damián Ferraro. Our main results prove that essentially all known notions of amenability are equivalent. We also extend Matsumura’s theorem to actions of exact locally compact groups on commutative C*-algebras and give a counter-example for the weak containment problem for actions on noncommutative C*-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.