##### Department of Mathematics,

University of California San Diego

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### MATH 243 - Functional Analysis Seminar

## Alcides Buss

#### Universidade Federal de Santa Catarina

## Amenable actions of locally compact groups on C*-algebras

##### Abstract:

I will talk about joint work with Siegfried Echterhoff and Rufus Willett in which we introduce and study amenable actions of locally compact groups on C*-algebras, building on previous similar notions by Anantharaman-Delaroche for actions of discrete groups. Among the new results we prove an extension of Matsumura's theorem giving a characterisation of the weak containment property (coincidence of full and reduced crossed products) for actions on commutative C*-algebras and give examples showing that this result does not extend to general noncommutative C*-algebras.

Host: Matthew Wiersma

### November 24, 2020

### 10:00 AM

### Contact mtwiersma@ucsd.edu

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