Journal of Noncommutative Geometry
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Published online: 2017-06-29
Part II, Free actions of compact groups on C*-algebrasKay Schwieger and Stefan Wagner (1) University of Helsinki, Finland
(2) Universität Hamburg, Germany
We study a simple class of free actions of non-Abelian groups on unital C*-algebras, namely cleft actions. These are characterized by the fact that the associated noncommutative vector bundles are trivial. In particular, we provide a complete classification theory for these actions and describe its relations to classical principal bundles.
Keywords: Weakly cleft action, C*-algebra, factor system, cocycle action
Schwieger Kay, Wagner Stefan: Part II, Free actions of compact groups on C*-algebras. J. Noncommut. Geom. 11 (2017), 641-668. doi: 10.4171/JNCG/11-2-6