Actions of compact quantum groups on 𝐶*-algebras

Marciniak, Marcin

doi:10.1090/S0002-9939-98-04066-0

Actions of compact quantum groups on $C*$-algebras
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by Marcin Marciniak PDF

Proc. Amer. Math. Soc. 126 (1998), 607-616 Request permission

Abstract:

In this paper we investigate a structure of the fixed point algebra under an action of compact matrix quantum group on a $C^*$-algebra $\mathcal {B}$. We also show that the categories of $\mathcal C$-comodules in $\mathcal B$ and inner endomorphisms restricted to the fixed point algebra coincide when the relative commutant of the fixed point algebra is trivial. Next we show a version of the Tannaka duality theorem for twisted unitary groups.

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