Cubulation of some triangle-free Artin groups
Geometric Topology
2020-10-06 v3 Metric Geometry
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.
Keywords
Cite
@article{arxiv.2003.09031,
title = {Cubulation of some triangle-free Artin groups},
author = {Thomas Haettel},
journal= {arXiv preprint arXiv:2003.09031},
year = {2020}
}
Comments
16 pages, 5 figures. To appear in GGD