Recent advances in the study of the Equivariant Brauer Group

2011/09/03 by Peter Bouwknegt, Bouwknegt, Peter, Alan Carey +3
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.1109.0591

arxiv created 2011/09/03 · arxiv updated 2011/09/06

Abstract

In this paper we outline a recent construction of a Chern-Weil isomorphism for the equivariant Brauer group of \mathbb Rⁿ actions on a principal torus bundle, where the target for this isomorphism is a "dimensionally reduced" \vCech cohomology group. Using this latter group, we demonstrate how to extend the induced algebra construction to algebras with a non-trivial bundle as their spectrum.

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