Inverse Approximation of Groupoids

Document Type

Presentation Abstract

Presentation Date

11-27-2017

Abstract

In this talk, I will first discuss inverse approximation: what it means and how does one use it in practice. Then I will discuss groupoids and give an overview of their convolution and C*-algebras. My focus will be on understanding what the convolution product means and how it translates "dynamical" information of the groupoid into algebra. I will focus on giving lots of examples so that the unfamiliar audience member can get a proper feel of these concepts. After giving lots of examples, I will explain a current project of Magdalena Georgescu and I in which we have devised a method of taking inverse limits of groupoids that preserve their harmonic analysis (i.e. the pullback morphism induces a C*-morphism of groupoid C*-algebras). I will briefly discuss what we have shown and its applications.

Additional Details

Monday, November 27, 2017 at 3:00 p.m. in Math 103
Refreshments at 4:00 p.m. in Math Lounge 109

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