Mathematics – K-Theory and Homology
Scientific paper
2006-05-04
Mathematics
K-Theory and Homology
Submitted for Proceeding of the conference C*-algebras and elliptic theory, Bedlewo, 2006
Scientific paper
A duality is discussed for Lie group bundles vs. certain tensor categories with non-simple identity, in the setting of Nistor-Troitsky gauge-equivariant K-theory. As an application, we study C*-algebra bundles with fibre a fixed-point algebra of the Cuntz algebra: a classification is given, and a cohomological invariant is assigned, representing the obstruction to perform an embedding into a continuous bundle of Cuntz algebras. Finally, we introduce the notion of twisted equivariant K-theory.
Vasselli Ezio
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