English

Recent advances in the study of the Equivariant Brauer Group

Operator Algebras 2011-09-06 v1

Abstract

In this paper we outline a recent construction of a Chern-Weil isomorphism for the equivariant Brauer group of Rn\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.

Keywords

Cite

@article{arxiv.1109.0591,
  title  = {Recent advances in the study of the Equivariant Brauer Group},
  author = {Peter Bouwknegt and Alan Carey and Rishni Ratnam},
  journal= {arXiv preprint arXiv:1109.0591},
  year   = {2011}
}