Cubulation of some triangle-free Artin groups
Thomas Haettel
Université de Montpellier, France
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Abstract
We prove that some classes of triangle-free Artin groups act properly on locally finite, finite-dimensional CAT(0) cube complexes. In particular, this provides the first examples of Artin 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.
Cite this article
Thomas Haettel, Cubulation of some triangle-free Artin groups. Groups Geom. Dyn. 16 (2022), no. 1, pp. 287–304
DOI 10.4171/GGD/648