Non-semi-regular quantum groups coming from number theory
算子代数
2009-11-07 v1 量子代数
摘要
In this paper, we study C*-algebraic quantum groups obtained through the bicrossed product construction. Examples using groups of adeles are given and they provide the first examples of locally compact quantum groups which are not semi-regular: the crossed product of the quantum group acting on itself by translations does not contain any compact operator. We describe all corepresentations of these quantum groups and the associated universal C*-algebras. On the way, we provide several remarks on C*-algebraic properties of quantum groups and their actions.
引用
@article{arxiv.math/0209069,
title = {Non-semi-regular quantum groups coming from number theory},
author = {Saad Baaj and Georges Skandalis and Stefaan Vaes},
journal= {arXiv preprint arXiv:math/0209069},
year = {2009}
}
备注
25 pages LaTeX