Rigidity and classification results for large-type Artin groups
Group Theory
2024-07-30 v1 Geometric Topology
Operator Algebras
Abstract
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.
Cite
@article{arxiv.2407.19940,
title = {Rigidity and classification results for large-type Artin groups},
author = {Jingyin Huang and Damian Osajda and Nicolas Vaskou},
journal= {arXiv preprint arXiv:2407.19940},
year = {2024}
}
Comments
52 pages, 9 figures