Journal of Noncommutative Geometry

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Volume 11, Issue 2, 2017, pp. 641–668
DOI: 10.4171/JNCG/11-2-6

Published online: 2017-06-29

Part II, Free actions of compact groups on C*-algebras

Kay Schwieger[1] and Stefan Wagner[2]

(1) University of Helsinki, Finland
(2) Universit├Ąt 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