Classical actions of quantum permutation groups

Amaury Freslon; Frank Taipe; Simeng Wang

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arXiv · 2306.17502

Classical actions of quantum permutation groups

Amaury Freslon·Frank Taipe·Simeng Wang

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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.

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Amaury Freslon, Frank Taipe, Simeng Wang. 2023-06-30. Classical actions of quantum permutation groups. https://arxiv.org/abs/2306.17502

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