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arXiv · 1806.02683

A note on the injectivity of action by compact quantum groups on a class of $C^{\ast}$-algebras

D Goswami·S Joardar
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Abstract

We give some sufficient conditions for the injectivity of actions of compact quantum groups on $C^{\ast}$-algebra. As an application, we prove that any faithful smooth action by a compact quantum group on a compact smooth (not necessarily connected) manifold is injective. A similar result is proved for actions on $C^{\ast}$- algebras obtained by Rieffel-deformation of compact, smooth manifolds.

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D Goswami, S Joardar. 2018-06-06. A note on the injectivity of action by compact quantum groups on a class of $C^{\ast}$-algebras. https://arxiv.org/abs/1806.02683

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