Geodesic
Cubulation of some triangle-free Artin groups
Thomas Haettel1
1Université de Montpellier, France
Groups, geometry, and dynamics, Tome 16 (2022) no. 1, pp. 287-304

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DOI

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.
DOI : 10.4171/ggd/648
Classification : 20-XX
Mots-clés : Artin groups, CAT.0/ cube complexes, Haagerup property, Baum–Connes conjecture

Thomas Haettel  1

1 Université de Montpellier, France 
Thomas Haettel. Cubulation of some triangle-free Artin groups. Groups, geometry, and dynamics, Tome 16 (2022) no. 1, pp. 287-304. doi: 10.4171/ggd/648
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