Hopf C*-algebras
算子代数
2007-05-23 v1 泛函分析
摘要
In this paper we introduce the notion of a Hopf C*-algebra and construct the counit and antipode. A Hopf C*-algebra is a C*-algebra with comultiplication satisfying some extra condition which makes possible the construction of the counit and antipode. The leading example is of course the C*-algebra of continuous, vanishing at infinity functions on a locally compact group. Also locally compact quantum groups will be examples. We include several formulas for the counit and antipode which are familiar from Hopf algebra theory.
引用
@article{arxiv.math/9907030,
title = {Hopf C*-algebras},
author = {Stefaan Vaes and Alfons Van Daele},
journal= {arXiv preprint arXiv:math/9907030},
year = {2007}
}
备注
50 pages, LaTeX 2e