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Article Dans Une Revue Annales de l'Institut Fourier Année : 2022

Extra large type Artin groups are CAT(0) and acylindrically hyperbolic

Résumé

We describe a simple locally CAT(0) classifying space for extra large type Artin groups. Furthermore, when the Artin group is not dihedral, we describe a rank 1 periodic geodesic, thus proving that extra large type Artin groups are acylindrically hyperbolic. Together with Property RD proved by Ciabonu, Holt and Rees, the CAT(0) property implies the Baum-Connes conjecture for all extra large type Artin groups.

Dates et versions

hal-02157743 , version 1 (17-06-2019)

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Citer

Thomas Haettel. Extra large type Artin groups are CAT(0) and acylindrically hyperbolic. Annales de l'Institut Fourier, 2022, 72 (6), pp.2541-2555. ⟨10.5802/aif.3524⟩. ⟨hal-02157743⟩
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