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Compact quantum group C^*-algebras as Hopf algebras with approximate unit

Do Ngoc Diep·Phung Ho Hai·Aderemi O. Kuku
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Abstract

In this paper we construct and study the representation theory of a Hopf C^*-algebra with approximate unit, which constitutes quantum analogue of a compact group C^*-algebra. The construction is done by first introducing a convolution-product on an arbitrary Hopf algebra H with integral, and then constructing the L_2 and C^*-envelopes of H (with the new convolution-product) when H is a compact Hopf *-algebra.

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BibTeXRIS

Do Ngoc Diep, Phung Ho Hai, Aderemi O. Kuku. 1999-04-30. Compact quantum group C^*-algebras as Hopf algebras with approximate unit. https://arxiv.org/abs/math/9904175

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