Groups and Operator Algebras Seminar

Speaker: Owen Tanner (University of Glasgow)

Title: The topological full groups of purely infinite groupoids

Abstract: Inspired by Rørdam-Sierakowski's work in the context of crossed products, Matui introduced a sufficient condition on a groupoid to have a purely infinite C*-algebra. Later in the context of group theory, Bleak-Elliot-Hyde introduced a sufficient condition for a simple, infinite group to be 2-generated, which they call vigorousness. In this talk, I will explain how, surprisingly, the framework of topological full groups renders these two conditions in some sense equivalent, and explain how we can think of the topological full groups of purely infinite groupoids as generalizations of Thompson's group V, with an emphasis on examples.

GOA website: https://sites.google.com/view/copenhagen-goa-seminar