A generalization of the topological Brauer group

Details A generalization of the topological Brauer group A generalization of the topological Brauer group

2003-01-16

arxiv.org/abs/math/0301180v6

Mathematics

Algebraic Topology

34 pages. v5: The part concerning the generalized Brauer group has been completely rewritten. An application to twisted $K$-th

Scientific paper

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 $K$-theory.

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