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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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