تقرير
Rigidity and classification results for large-type Artin groups
| العنوان: | Rigidity and classification results for large-type Artin groups |
|---|---|
| المؤلفون: | Huang, Jingyin, Osajda, Damian, Vaskou, Nicolas |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Geometric Topology, Mathematics - Operator Algebras, 20F36, 20F65, 20F28, 20E36, 37A20, 46L36 |
| الوصف: | 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. Comment: 52 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.19940 |
| رقم الأكسشن: | edsarx.2407.19940 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |