Jintao Deng

activity

20192026

most citedThe Novikov conjecture and extensions of coarsely embeddable groups

2 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.OA2026

The quantitative coarse Baum-Connes conjecture for free products

Jintao Deng, Ryo Toyota

Let $X$ and $Y$ be uniformly locally finite metric spaces. In this paper, we prove the quantitative coarse Baum--Connes conjecture for the free product $X * Y$ under the assumption t…

math.KT2023

Higher index theory for spaces with an FCE-by-FCE structure

Jintao Deng, Liang Guo, Qin Wang +1

Let $(1 \to N_{n} \to G_{n} \to Q_{n} \to 1)_{n \in N}$ be a sequence of extensions of finite groups. Assume that the coarse disjoint unions of $(N_{n})_{n \in N}$ , $(G_n)_{n \…

math.OA2022

Coarse embeddings at infinity and generalized expanders at infinity

Jintao Deng, Liang Guo, Qin Wang +1

We introduce a notion of coarse embedding at infinity into Hilbert space for metric spaces, which is a weakening of the notion of fibred coarse embedding and a far generalization o…

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

$K$ -theory of relative group $C^{*}$ -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 $(1 \to N_{m} \to G_{m} \to Q_{m} \to 1)_{m \in N}$ be a sequence of extensions of finite groups such that their coarse disjoint unions have bounded geometry. In thi…

math.KT2019★ 2 cited

The Novikov conjecture and extensions of coarsely embeddable groups