论文标题
A-T-Menable群体的猜想的象征
The equivariant coarse Baum-Connes conjecture for actions by a-T-menable groups
论文作者
论文摘要
ROE [29]首先引入了统一的方法，是接近鲍姆 - 康涅狄格州猜想及其粗糙对应物的统一方法。在本文中，我们证明，如果A-T-Menable $γ$在有界的几何标准空间$ x $具有受控失真的限制性几何标准空间上，以使商$ x/γ$粗加工，则可以嵌入等效的粗baum connes猜测。这回答了[8]中提出的一个问题。
The equivariant coarse Baum-Connes conjecture was firstly introduced by Roe [29] as a unified way to approach both the Baum-Connes conjecture and its coarse counterpart. In this paper, we prove that if an a-T-menable group $Γ$ acts properly and isometrically on a bounded geometry metric space $X$ with controlled distortion such that the quotient space $X/Γ$ is coarsely embeddable, then the equivariant coarse Baum-Connes conjecture holds for this action. This answers a question posed in [8] affirmatively.
