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Article Dans Une Revue Groups, Geometry, and Dynamics Année : 2022

Cubulation of some triangle-free Artin-Tits groups

Résumé

We prove that some classes of triangle-free Artin-Tits groups act properly on locally finite, finite-dimensional CAT(0) cube complexes. In particular, this provides the first examples of Artin-Tits groups that are properly cubulated but cannot be cocompactly cubulated, even virtually. The existence of such a proper action has many interesting consequences for the group, notably the Haagerup property, and the Baum-Connes conjecture with coefficients.

Dates et versions

hal-02956909 , version 1 (03-10-2020)

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Thomas Haettel. Cubulation of some triangle-free Artin-Tits groups. Groups, Geometry, and Dynamics, 2022, 16 (1), pp.287-304. ⟨10.4171/ggd/648⟩. ⟨hal-02956909⟩
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