2006/05/04 by Ezio Vasselli, Vasselli, Ezio
Mathematics · #19L47 #46L05 #46M15 #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #math.KT #math.OA #msc:19L47 #msc:46L05 #msc:46M15
paper · pdf · doi:10.48550/arxiv.math/0605114
Submitted for Proceeding of the conference C*-algebras and elliptic theory, Bedlewo, 2006
arxiv created 2007/12/03 · arxiv updated 2009/12/01
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.