Classical actions of quantum permutation groups
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866910334379360256 |
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| author | Freslon, Amaury Taipe, Frank Wang, Simeng |
| author_facet | Freslon, Amaury Taipe, Frank Wang, Simeng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_17502 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classical actions of quantum permutation groups Freslon, Amaury Taipe, Frank Wang, Simeng Operator Algebras Quantum Algebra 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. |
| title | Classical actions of quantum permutation groups |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2306.17502 |