Isometric coactions of compact quantum groups on compact quantum metric spaces
Operator Algebras
2010-07-05 v1
Abstract
We propose a notion of isometric coaction of a compact quantum group on a compact quantum metric space in the framework of Rieffel where the metric structure is given by a Lipnorm. We prove the existence of a quantum isometry group for finite metric quantum spaces, preserving a given state.
Keywords
Cite
@article{arxiv.1007.0363,
title = {Isometric coactions of compact quantum groups on compact quantum metric spaces},
author = {Johan Quaegebeur and Marie Sabbe},
journal= {arXiv preprint arXiv:1007.0363},
year = {2010}
}