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

2015/08/31 by Schwieger, Kay, Wagner, Stefan · 1 citation
#16D70 (secondary) #37B05 (primary) #46L85 #55R10 #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1508.07904

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

• Noncommutative principal bundles and central extensions

Related

• Part I, Free Actions of Compact Abelian Groups on C*-Algebras
• Noncommutative numerable principal bundles from group actions on C*-algebras
• Freeness of actions of finite groups on C*-algebras
• Minimal compact group actions on C^*-algebras with simple fixed point algebras
• Free Group Actions from the Viewpoint of Dynamical Systems