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arXiv · 2407.19940

Rigidity and classification results for large-type Artin groups

Jingyin Huang·Damian Osajda·Nicolas Vaskou
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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.

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Jingyin Huang, Damian Osajda, Nicolas Vaskou. 2024-07-29. Rigidity and classification results for large-type Artin groups. https://arxiv.org/abs/2407.19940

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