Classical actions of quantum permutation groups
Operator Algebras
2024-02-20 v3 Quantum Algebra
Abstract
We describe explicitly all actions of the quantum permutation groups on classical compact spaces. In particular, we show that the defining action is the only non-trivial ergodic one. We then extend these results to all easy quantum groups associated to non-crossing partitions.
Keywords
Cite
@article{arxiv.2306.17502,
title = {Classical actions of quantum permutation groups},
author = {Amaury Freslon and Frank Taipe and Simeng Wang},
journal= {arXiv preprint arXiv:2306.17502},
year = {2024}
}
Comments
21 pages. v2, v3: minor changes