On Uniform Roe algebras of locally finite groups

Hung-Chang Liao (University of Muenster)

Tuesday 21st February, 2017 16:00-17:00 Maths 203

Abstract

Given a group equipped with a proper left-invariant metric, the uniform Roe algebra reflects many large-scale geometric properties of the underlying group. In this talk we study the uniform Roe algebras arising from locally finite groups. By definition, a group is locally finite if every finitely generated subgroup is finite. These are precisely the groups which are zero-dimensional in the large scale sense. It is therefore not surprising that their uniform Roe algebras exhibit very good C*-structual properties, which we will discuss.

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