Actions of compact quantum groups on 𝐶*-algebras-Reference-Cited by-同舟云学术

Actions of compact quantum groups on 𝐶*-algebras

Published:1998 Issue:2 Volume:126 Page:607-616
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Marciniak Marcin

Abstract

In this paper we investigate a structure of the fixed point algebra under an action of compact matrix quantum group on a C ∗ C^* -algebra B \mathcal {B} . We also show that the categories of C \mathcal C -comodules in B \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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-02/S0002-9939-98-04066-0/S0002-9939-98-04066-0.pdf

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