Recent advances in the study of the Equivariant Brauer Group

Details Recent advances in the study of the Equivariant Brauer Group Recent advances in the study of the Equivariant Brauer Group

2011-09-03

arxiv.org/abs/1109.0591v1

Mathematics

Operator Algebras

Scientific paper

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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