# K-theory and twisted groupoid C*-algebras

## Document Type

Presentation Abstract

## Presentation Date

2-11-2016

## Abstract

The goal of this talk will be to explain some of what we know about the K-theory of twisted groupoid C*-algebras, and why we should care.

In the first part of the talk, I will define the objects in the title and explain how the K-theory of groupoid C*-algebras can tell us about other mathematical objects, from dynamical systems to string theory. My hope is that this will be a gentle introduction to the topic(s) at hand; no prior familiarity with groupoids or with C*-algebras will be assumed.

In the second part of the talk, I'll discuss the particular question I've investigated about the K-theory of twisted groupoid C*-algebras, why I chose it, and the progress that I've made so far. Time permitting, I will sketch some of the proofs, so this part of the talk will be more technical than the first part.

## Recommended Citation

Gillaspy, Elizabeth A., "K-theory and twisted groupoid C*-algebras" (2016). *Colloquia of the Department of Mathematical Sciences*. 504.

https://scholarworks.umt.edu/mathcolloquia/504

## Additional Details

Thursday, February 11, 2016 at 2:10 p.m. in Math 103

Refreshments at 3:00 p.m. in Math Lounge 109