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

Abstract

We study and classify free actions of compact quantum groups on unital C*-algebras in terms of generalized factor systems. Moreover, we use these factor systems to show that all finite coverings of irrational rotation C*-algebras are cleft.

References in corpus (13)

• Noncommutative Manifolds the Instanton Algebra and Isospectral Deformations
• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum $SU(2)$ and $SO(3)$ groups
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• Principal fibrations from noncommutative spheres
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• Principal noncommutative torus bundles
• Free actions of compact quantum group on unital C*-algebras
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• Duality theory for nonergodic actions
• A construction of finite index C*-algebra inclusions from free actions of compact quantum groups
• Part I, Free Actions of Compact Abelian Groups on C*-Algebras
• Free Group Actions from the Viewpoint of Dynamical Systems
• Fixed Point Algebras for Easy Quantum Groups

Cited by in corpus (2)

• Noncommutative Coverings of Quantum Tori
• An Atiyah Sequence for Noncommutative Principal Bundles