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A generalization of the topological Brauer group

Published online by Cambridge University Press:  04 March 2008

A. V. Ershov
A. V. Ershov
Affiliation:
[email protected] of Mathematics, Moscow State University, Moscow, Russia
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Abstract

In the present paper we study some homotopy invariants which can be defined by means of bundles with fiber being a matrix algebra. In particular, we introduce some generalization of the Brauer group in the topological context and show that any of its elements can be represented as a locally trivial bundle with the structure group , k ∈ . Finally, we discuss its possible applications in the twisted K-theory.

Keywords

matrix algebra bundleBrauer grouphomotopy functorfirst obstructiontwisted K-theoryoperator algebraFredholm operators
Type
Research Article
Information
Journal of K-Theory , Volume 2 , Special Issue 3: In Memory of Yurii Petrovich Solovyev October 8, 1944–September 11, 2003 , December 2008 , pp. 407 - 444
Copyright
Copyright © ISOPP 2008

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