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Rigidity and classification results for large-type Artin groups
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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.
Forward citations
Cited by 2 Pith papers
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Automorphisms of the Artin group of type $D_5$
Automorphism groups of the D5 Artin group and its center quotient are determined, completing the Dn classification.
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Automorphisms of the Artin group of type $D_5$
Aut(A(D_5)) and Aut(A(D_5)/Z) are explicitly determined, settling the final case in the D_n classification.
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