Why construct C* -algebras from symbolic dynamical systems?

Kevin Aguyar Brix (University of Glasgow)

Monday 7th February, 2022 17:00-18:00 Maths 311B

Abstract

In the span of about three talks, I will describe some constructions of C*-algebras from topological dynamical systems. In the first talk, I will focus on the prime example, namely the shifts of finite type which led to the Cuntz-Krieger algebras. This was very beneficial to the C*-community and it also provided new and valuable tools to the dynamicists. In the rest of the talks, we will study broader dynamical systems (e.g. systems of local homeomorphism or general shift spaces) and explore how to associate C*-algebras to them (and whether it is useful to do so!).

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