1 citations · 1 across the 4 of their papers we have counts for
10 papers
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…
The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H)
Xiaoman Chen, Kun Gao, Jiawen Zhang
In this paper, we introduce a strongly quasi-local version of the coarse Novikov conjecture, which states that certain assembly map from the coarse -homology of a metric space t…
Strongly Quasi-local algebras and their -theories
Hengda Bao, Xiaoman Chen, Jiawen Zhang
In this paper, we introduce a notion of strongly quasi-local algebras. They are defined for each discrete metric space with bounded geometry, and sit between the Roe algebra and th…
Asymptotic expansion in measure and strong ergodicity
Kang Li, Federico Vigolo, Jiawen Zhang
In this paper, we introduce and study a notion of asymptotic expansion in measure for measurable actions. This generalises expansion in measure and provides a new perspective on th…
Quasi-local Algebras and Asymptotic Expanders
Kang Li, Piotr Nowak, Ján Špakula +1
In this paper, we study the relation between the uniform Roe algebra and the uniform quasi-local algebra associated to a metric space of bounded geometry. In the process, we introd…
Limit operator theory for groupoids
Kyle Austin, Jiawen Zhang
We extend the symbol calculus and study the limit operator theory for -compact, étale and amenable groupoids, in the Hilbert space case. This approach not only unifies various e…