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Free actions of compact groups on \(C^\ast\)-algebras. II. - MaRDI portal

Free actions of compact groups on \(C^\ast\)-algebras. II. (Q2013496)

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Free actions of compact groups on \(C^\ast\)-algebras. II.
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    Free actions of compact groups on \(C^\ast\)-algebras. II. (English)
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    8 August 2017
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    Summary: We study a simple class of free actions of non-abelian groups on unital \(C^\ast\)-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. For Part I see [Adv. Math. 317, 224--266 (2017; Zbl 1382.46055)].
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    weakly cleft action
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    \(C^\ast\)-algebra
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    factor system
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    cocycle action
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