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arXiv · 1109.0591

Recent advances in the study of the Equivariant Brauer Group

Peter Bouwknegt·Alan Carey·Rishni Ratnam
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Abstract

In this paper we outline a recent construction of a Chern-Weil isomorphism for the equivariant Brauer group of $\mathbb R^n$ 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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Peter Bouwknegt, Alan Carey, Rishni Ratnam. 2011-09-03. Recent advances in the study of the Equivariant Brauer Group. https://arxiv.org/abs/1109.0591

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