Actions of compact quantum groups on $C*$-algebras
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- by Marcin Marciniak PDF
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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.References
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Additional Information
- Marcin Marciniak
- Affiliation: Institute of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland
- Email: matmm@univ.gda.pl
- Received by editor(s): May 7, 1996
- Received by editor(s) in revised form: July 16, 1996, and August 8, 1996
- Additional Notes: The author was supported by KBN grant 2 P301 020 07
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 607-616
- MSC (1991): Primary 22D25; Secondary 46L60, 81R50
- DOI: https://doi.org/10.1090/S0002-9939-98-04066-0
- MathSciNet review: 1415332