CQG algebras: a direct algebraic approach to compact quantum groups
High Energy Physics - Theory
2009-10-28 v1
Abstract
The purely algebraic notion of CQG algebra (algebra of functions on a compact quantum group) is defined. In a straightforward algebraic manner, the Peter-Weyl theorem for CQG algebras and the existence of a unique positive definite Haar functional on any CQG algebra are established. It is shown that a CQG algebra can be naturally completed to a -algebra. The relations between our approach and several other approaches to compact quantum groups are discussed.
Cite
@article{arxiv.hep-th/9406042,
title = {CQG algebras: a direct algebraic approach to compact quantum groups},
author = {Mathijs S. Dijkhuizen and Tom H. Koornwinder},
journal= {arXiv preprint arXiv:hep-th/9406042},
year = {2009}
}
Comments
14 pp., Plain TeX, accepted by Lett. Math. Phys