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Compact quantum groups associated with monoidal functors

Author(s): Huu Hung Bui
Journal: Proc. Amer. Math. Soc. 126 (1998), 1081-1088.
MSC (1991): Primary 46L89, 46M15, 18E10
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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.

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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

DOI: 10.1090/S0002-9939-98-04094-5
PII: S 0002-9939(98)04094-5
Received by editor(s): August 7, 1996
Received by editor(s) in revised form: September 23, 1996
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1998, American Mathematical Society

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