##### Department of Mathematics,

University of California San Diego

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### Math 243 - Functional Analysis

## Matthew Wiersma

#### University of Alberta

## Hermitian groups are amenable

##### Abstract:

A locally compact group $G$ is \emph{Hermitian} if the spectrum $\sigma_{L^1(G)}(f)$ is contained in $\mathbb R$ for every $f=f^*\in L^1(G)$. Examples of Hermitian groups include all abelian locally compact groups. A question from the 1960s asks whether every Hermitian group is amenable. I will speak on the history and recent affirmative solution to this problem.

Host: Adrian Ioana

### May 7, 2019

### 11:00 AM

### AP&M 6402

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