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K-State Today

May 7, 2015

Mathematics Colloquium Lecture May 7

By Reta McDermott

Elizabeth Gillaspy, University of Colorado at Boulder, will present "K-Theory and Twisted Groupoid C*-Algebras" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Thursday, May 7, in 122 Cardwell Hall.

The abstract for the lecture is: 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.

Supported by an NSF grant.