The Brauer group for Fell algebras

Nicholas Seaton

Thursday 26th May 16:00-17:00 Maths 311B

Abstract

The Dixmier-Douady theory for continuous-trace $C^*$-algebras provides a cohomological invariant which can track if two such $C^*$-algebras have a spectrum preserving Morita equivalence. There is a well-defined Brauer group for continuous-trace $C^*$-algebras which addresses how the cohomology group structure is reflected in the Dixmier-Douady theory. In 2010, An Huef, Kumjian and Sims generalised this and gave a Dixmier-Douady theory for Fell algebras. In this talk, we will go through their theory and describe the construction of the Brauer group for Fell algebras.

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