A generalization of the topological Brauer group
Algebraic Topology
2007-05-23 v6 K-Theory and Homology
Abstract
In the present paper we study some homotopy invariants which can be defined by means of bundles with fiber a matrix algebra. We also introduce some generalization of the Brauer group in the topological context and show that any its element can be represented as a locally trivial bundle with a group of invertible operators in a Hilbert space as the structure group. Finally, we discuss its possible applications in the twisted -theory.
Keywords
Cite
@article{arxiv.math/0301180,
title = {A generalization of the topological Brauer group},
author = {A. V. Ershov},
journal= {arXiv preprint arXiv:math/0301180},
year = {2007}
}
Comments
34 pages. v5: The part concerning the generalized Brauer group has been completely rewritten. An application to twisted $K$-theory is added