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

Thomas Haettel
Annales de l'Institut Fourier, Vol.72(6), pp.2541-2555
21/10/2022

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.

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