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A Chern-Weil Isomorphism for the Equivariant Brauer Group

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 Added by Peter Bouwknegt
 Publication date 2011
  fields Physics
and research's language is English




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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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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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