K T ] 1 8 Fe b 20 02 An index for gauge-invariant operators and the Dixmier-Douady invariant

Abstract

Let G → B be a bundle of compact Lie groups acting on a fiber bundle Y → B. In this paper we introduce and study gauge-equivariant K-theory groups K G(Y ). These groups satisfy the usual properties of the equivariant K-theory groups, but also some new phenomena arise due to the topological non-triviality of the bundle G → B. As an application, we define a… (More)