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Department of Mathematics,
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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