On a generalisation of expanders

Ana Khukhro (University of Cambridge)

Thursday 9th January, 2020 16:00-17:00 Maths 311B

Abstract

We will introduce the notion of "asymptotic expansion" recently defined
by Li, Nowak, Spakula and Zhang and give operator algebraic motivation
for their study. We will explore this definition in the familiar setting
of Cayley graphs, and show that this leads to a C*-algebraic
characterisation of usual expanders for graphs that are sufficiently
symmetric. This is joint work with Li, Vigolo and Zhang.

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