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

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.

Cited by in corpus (4)

• Part I, Free Actions of Compact Abelian Groups on C*-Algebras
• Lifting spectral triples to noncommutative principal bundles
• Realizations of free actions via their fixed point algebras
• Non-Abelian extensions of groupoids and their groupoid rings