Rigidity and classification results for large-type Artin groups
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| author | Huang, Jingyin Osajda, Damian Vaskou, Nicolas |
| author_facet | Huang, Jingyin Osajda, Damian Vaskou, Nicolas |
| contents | We compute the automorphism group of the intersection graph of many large-type Artin groups. This graph is an analogue of the curve graph of mapping class groups but in the context of Artin groups. As an application, we deduce a number of rigidity and classification results for these groups, including computation of outer automorphism groups, commensurability classification, quasi-isometric rigidity, measure equivalence rigidity, orbit equivalence rigidity, rigidity of lattice embedding, and rigidity of cross-product von Neumann algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19940 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigidity and classification results for large-type Artin groups Huang, Jingyin Osajda, Damian Vaskou, Nicolas Group Theory Geometric Topology Operator Algebras 20F36, 20F65, 20F28, 20E36, 37A20, 46L36 We compute the automorphism group of the intersection graph of many large-type Artin groups. This graph is an analogue of the curve graph of mapping class groups but in the context of Artin groups. As an application, we deduce a number of rigidity and classification results for these groups, including computation of outer automorphism groups, commensurability classification, quasi-isometric rigidity, measure equivalence rigidity, orbit equivalence rigidity, rigidity of lattice embedding, and rigidity of cross-product von Neumann algebra. |
| title | Rigidity and classification results for large-type Artin groups |
| topic | Group Theory Geometric Topology Operator Algebras 20F36, 20F65, 20F28, 20E36, 37A20, 46L36 |
| url | https://arxiv.org/abs/2407.19940 |