A Chern-Weil Isomorphism for the Equivariant Brauer Group

Details A Chern-Weil Isomorphism for the Equivariant Brauer Group A Chern-Weil Isomorphism for the Equivariant Brauer Group

2011-09-15

arxiv.org/abs/1109.3306v1

Mathematics

Operator Algebras

58 pages

Scientific paper

In this paper we construct a Chern-Weil isomorphism for the equivariant
Brauer group of R^n-actions on a principal torus bundle, where the target for
this isomorphism is a "dimensionally reduced" Cech cohomology group. From this
point of view, the usual forgetful functor takes the form of a connecting
homomorphism in a long exact sequence in dimensionally reduced cohomology.

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