11 citations · 33 across the 23 of their papers we have counts for
9 papers · 1 filter
-Theoretic Comparison of Roe and Quasi-Local Algebras via Projections
Kang Li, Jiawen Zhang, Jingming Zhu
A central question in higher index theory and operator algebras is whether the Roe algebra and the quasi-local algebra associated with a metric space of bounded geometry coincide,…
Rigidity for geometric ideals in uniform Roe algebras
Baojie Jiang, Jiawen Zhang
In this paper, we investigate the rigidity problems for geometric ideals in uniform Roe algebras associated to discrete metric spaces of bounded geometry. These ideals were introdu…
Ghostly ideals in uniform Roe algebras
Qin Wang, Jiawen Zhang
In this paper, we investigate the ideal structure of uniform Roe algebras for general metric spaces beyond the scope of Yu's property A. Inspired by the ideal of ghost operators co…
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…
Measured asymptotic expanders and rigidity for Roe algebras
Kang Li, Ján Špakula, Jiawen Zhang
Our main result about rigidity of Roe algebras is the following: if and are metric spaces with bounded geometry such that their Roe algebras are -isomorphic, then an…
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…