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Compact quantum groups associated with monoidal functors

Authors:	Huu Hung Bui

Institution:	Department of Mathematics, Macquarie University, New South Wales 2109, Australia

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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