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

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 نشر من قبل Debashish Goswami
 تاريخ النشر 2018
  مجال البحث
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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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