Locally compact quantum groups in the universal setting
算子代数
2007-05-23 v1
摘要
In this paper we associate to every reduced C*-algebraic quantum group A a universal C*-algebraic quantum group. We fine tune a proof of Kirchberg to show that every *-representation of a modified L1-space is generated by a unitary corepresentation. By taking the universal enveloping C*-algebra of a dense sub *-algebra of A we arrive at the uinversal C*-algebra. We show that this universal C*-algebra carries a quantum group structure which is as rich as its reduced companion.
引用
@article{arxiv.math/9902015,
title = {Locally compact quantum groups in the universal setting},
author = {Johan Kustermans},
journal= {arXiv preprint arXiv:math/9902015},
year = {2007}
}
备注
37 pages, LaTeX