Part II, Free Actions of Compact Groups on C*-Algebras

Published 31 Aug 2015 in math.OA and math.QA | (1508.07904v3)

Abstract: We study a simple subclass 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.

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