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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.OA2021
-theory of relative group -algebras and the relative Novikov conjecture
Jintao Deng, Geng Tian, Zhizhang Xie +1
The relative Novikov conjecture states that the relative higher signatures of manifolds with boundary are invariant under orientation-preserving homotopy equivalences of pairs. In…
math.KT2021
The coarse Baum-Connes conjecture for certain relative expanders
Jintao Deng, Qin Wang, Guoliang Yu
Let be a sequence of extensions of finite groups such that their coarse disjoint unions have bounded geometry. In thi…