##### Department of Mathematics,

University of California San Diego

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### Math 243 - Functional Analysis Seminar

## Sarah Reznikoff

#### Kansas State University

## Cartan pairs associated to group actions

##### Abstract:

Non-abelian $C^\ast$-algebras can be understood better from the examination of their maximal abelian subalgebras. In particular, Renault showed that in the presence of a Cartan subalgebra, a $C^\ast$-algebra can be associated in a canonical way with a topological twisted groupoid. In joint work with Jon Brown, Adam Fuller, and David Pitts, we extend Renault's result by identifying Cartan pairs revealed by gradings by a group.

Host: Adrian Ioana

### May 22, 2019

### 2:00 PM

### AP&M 6402

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