Compact quantum groups associated with monoidal functors
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Abstract:
We provide a ${C}^\ast$-algebra structure on the bialgebra associated with a monoidal linear ${}^\ast$-functor. The ${C}^\ast$-algebra obtained in this way is a compact quantum group in the sense of Baaj and Skandalis. We show that the category of finite dimensional unitary corepresentations of this ${C}^\ast$-algebra is equivalent to the given category.References
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Additional Information
- Huu Hung Bui
- Affiliation: Department of Mathematics, Macquarie University, New South Wales 2109, Australia
- Address at time of publication: School of Mathematics, The University of New South Wales, Sydney, New South Wales 2052, Australia
- Email: hung@alpha.maths.unsw.edu.au
- Received by editor(s): August 7, 1996
- Received by editor(s) in revised form: September 23, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1081-1088
- MSC (1991): Primary 46L89, 46M15, 18E10
- DOI: https://doi.org/10.1090/S0002-9939-98-04094-5
- MathSciNet review: 1422851