Examples of non-compact quantum group actions
Operator Algebras
2011-04-12 v1 Functional Analysis
Abstract
We present two examples of actions of non-regular locally compact quantum groups on their homogeneous spaces. The homogeneous spaces are defined in a way specific to these examples, but the definitions we use have the advantage of being expressed in purely -algebraic language. We also discuss continuity of the obtained actions. Finally we describe in detail a general construction of quantum homogeneous spaces obtained as quotients by compact quantum subgroups.
Keywords
Cite
@article{arxiv.1001.0520,
title = {Examples of non-compact quantum group actions},
author = {Piotr M. Sołtan},
journal= {arXiv preprint arXiv:1001.0520},
year = {2011}
}
Comments
13 pages, LaTeX