Cubulation of some triangle-free Artin groups (Q2141713)
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scientific article; zbMATH DE number 7531897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cubulation of some triangle-free Artin groups |
scientific article; zbMATH DE number 7531897 |
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Cubulation of some triangle-free Artin groups (English)
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25 May 2022
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Summary: 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.
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Artin groups
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CAT(0) cube complexes
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Haagerup property
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Baum-Connes conjecture
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