Invariant subsets under compact quantum group actions
Operator Algebras
2015-11-17 v3 Quantum Algebra
Abstract
We investigate compact quantum group actions on unital -algebras by analyzing invariant subsets and invariant states. In particular, we come up with the concept of compact quantum group orbits and use it to show that countable compact metrizable spaces with infinitely many points are not quantum homogeneous spaces.
Keywords
Cite
@article{arxiv.1210.5782,
title = {Invariant subsets under compact quantum group actions},
author = {Huichi Huang},
journal= {arXiv preprint arXiv:1210.5782},
year = {2015}
}
Comments
Examples of compact quantum group actions on compact Hausdorff spaces added. Comments are welcome