3 papers
math.OA2022
The equivariant coarse Baum-Connes conjecture for actions by a-T-menable groups
Benyin Fu, Jiawen Zhang
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 pa…
math.KT2021
The equivariant coarse Baum-Connes conjecture for metric spaces with proper group actions
Jintao Deng, Benyin Fu, Qin Wang
The equivariant coarse Baum-Connes conjecture interpolates between the Baum-Connes conjecture for a discrete group and the coarse Baum-Connes conjecture for a proper metric space.…
math.KT2019
The equivariant coarse Novikov conjecture and coarse embedding
Benyin Fu, Xianjin Wang, Guoliang Yu
The equivariant coarse Novikov conjecture provides an algorithm for determining nonvanishing of equivariant higher index of elliptic differential operators on noncompact manifolds.…