论文标题

对于猫(0)立方体复合物的适当作用的准确僵化

No quasi-isometric rigidity for proper actions on CAT(0) cube complexes

论文作者

Fournier-Facio, Francesco, Genevois, Anthony

论文摘要

我们展示了各种群体,它们在中值图(又称CAT(0)立方体复合物的一键骨骼)上进行了正确的作用,并与未接受任何适当作用的准iS-Immotem组相结合。这回答了Niblo,Sageev和Wise的问题。我们的示例都是某些立方组的准文化中心延伸。

We exhibit a variety of groups that act properly and even cocompactly on median graphs (a.k.a. one-skeletons of CAT(0) cube complexes), with quasi-isometric groups that do not admit any proper action on a median graph. This answes a question of Niblo, Sageev and Wise. Our examples are all quasi-isometrically trivial central extensions of certain cubulated groups.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源