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arxiv: 1701.05895 · v3 · submitted 2017-01-20 · 🧮 math.OA · math-ph· math.FA· math.MP

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

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classification 🧮 math.OA math-phmath.FAmath.MP
keywords algebrasactionscompactfactorfreegroupsquantumsystems
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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.

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