Compact quantum group C^*-algebras as Hopf algebras with approximate unit
Quantum Algebra
2007-05-23 v1 Operator Algebras
Rings and Algebras
Representation Theory
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.
Keywords
Cite
@article{arxiv.math/9904175,
title = {Compact quantum group C^*-algebras as Hopf algebras with approximate unit},
author = {Do Ngoc Diep and Phung Ho Hai and Aderemi O. Kuku},
journal= {arXiv preprint arXiv:math/9904175},
year = {2007}
}
Comments
15 pages, latex 2e, amsart style