Open quantum subgroups of locally compact quantum groups
Operator Algebras
2016-08-15 v2
Abstract
The notion of an open quantum subgroup of a locally compact quantum group is introduced and given several equivalent characterizations in terms of group-like projections, inclusions of quantum group C*-algebras and properties of respective quantum homogenous spaces. Open quantum subgroups are shown to be closed in the sense of Vaes and normal open quantum subgroups are proved to be in 1-1 correspondence with normal compact quantum subgroups of the dual quantum group.
Keywords
Cite
@article{arxiv.1511.03952,
title = {Open quantum subgroups of locally compact quantum groups},
author = {Mehrdad Kalantar and Paweł Kasprzak and Adam Skalski},
journal= {arXiv preprint arXiv:1511.03952},
year = {2016}
}
Comments
30 pages, v2 simplifies the proof of Theorem 5.8 (and drops the properness assumption) as well as corrects several small points. The final version will appear in Advances in Mathematics