A uniqueness theorem for twisted groupoid C*-algebras

Becky Armstrong (University of Münster)

Thursday 28th October, 2021 16:00-17:00 Maths 311B/Online

Abstract

Twisted groupoid C*-algebras were introduced by Renault in 1980 and are a generalisation of twisted group C*-algebras, which are the C*-algebraic analogue of twisted group rings. Through the work of Renault and more recently of Li, it has emerged that every simple classifiable C*-algebra can be realised as a twisted groupoid C*-algebra, a result that has led to increased interest in the structure of these C*-algebras. In this talk I will describe the construction of reduced twisted C*-algebras of Hausdorff étale groupoids. I will then discuss my recent preprint in which I prove a uniqueness theorem for these algebras and use this to characterise simplicity in the case where the groupoid is effective.

Add to your calendar

Download event information as iCalendar file (only this event)