论文标题
一些不含三角形的artin群体的肘
Cubulation of some triangle-free Artin groups
论文作者
论文摘要
我们证明，某些无三角形的Artin组适当地作用于局部有限的有限维CAT（0）立方体复合体。特别是，这提供了适当组合但实际上不能同时组合的Artin组的第一个例子。这种适当的作用的存在对小组有许多有趣的后果，尤其是Haagerup特性，而Baum-Connes猜想则具有系数。
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.
