CLASSICAL ACTIONS OF QUANTUM PERMUTATION GROUPS

Freslon A.; Taipe F.; Wang S. · Journal of Operator Theory (2025) · DOI: 10.7900/jot.2024feb16.2464

Resumen

We present a complete study of rigidity for actions of quantum permutation groups on compact spaces. In particular, we describe explicitly all actions of the quantum permutation groups on classical compact spaces, and show that the defining action is the only non-trivial ergodic one. We then extend these results to all easy quantum groups associated with non-crossing partitions. © Copyright by THETA, 2025.

Instituciones: Universidad Nacional de Ingeniería