Quantum Automorphism Groups of Hypergraphs
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914801466212352 |
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| author | Faroß, Nicolas |
| author_facet | Faroß, Nicolas |
| contents | We introduce a quantum automorphism group for hypergraphs, which turns out to generalize the quantum automorphism group of Bichon for classical graphs. Further, we show that our quantum automorphism group acts on hypergraph C*-algebras as recently defined. In particular, this action generalizes the one on graph C*-algebras by Schmidt-Weber in 2018. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09894 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Automorphism Groups of Hypergraphs Faroß, Nicolas Operator Algebras Quantum Algebra We introduce a quantum automorphism group for hypergraphs, which turns out to generalize the quantum automorphism group of Bichon for classical graphs. Further, we show that our quantum automorphism group acts on hypergraph C*-algebras as recently defined. In particular, this action generalizes the one on graph C*-algebras by Schmidt-Weber in 2018. |
| title | Quantum Automorphism Groups of Hypergraphs |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2405.09894 |