Jianguo Zhang

activity

20242026

collaborators

4 papers

math.OA2026

Strict comparison holds in the uniform Roe algebra of a discrete amenable group

George A. Elliott, Chun Guang Li, Zhuang Niu +1

Let $I^$ be a countable discrete amenable group, and let $A = l^{\infty} (I^) ⋊ I^$ . It is shown that if $a, b \in A \otimes K$ are positive elements such that $$\mathrm{…

math.FA2025

$L^{p}$ coarse Baum-Connes conjecture via $C_{0}$ coarse geometry

Hang Wang, Yanru Wang, Jianguo Zhang +1

In this paper, we investigate the $L^{p}$ coarse Baum-Connes conjecture for $p \in [1, \infty)$ via $C_{0}$ coarse structure, which is a refinement of the bounded coarse structure on…

math.DS2025

Dynamic asymptotic dimension growth for group actions and groupoids

Hang Wang, Yanru Wang, Jianguo Zhang +1

We introduce the notion of dynamic asymptotic dimension growth for actions of discrete groups on compact spaces, and more generally for locally compact Ã©tale groupoids. Using the…

math.OA2024

Persistence approximation property for $L^{p}$ operator algebras

Hang Wang, Yanru Wang, Jianguo Zhang +1

In this paper, we study the persistence approximation property for quantitative $K$ -theory of filtered $L^{p}$ operator algebras. Moreover, we define quantitative assembly maps for $…

Strict comparison holds in the uniform Roe algebra of a discrete amenable group

Lp coarse Baum-Connes conjecture via C0​ coarse geometry

Dynamic asymptotic dimension growth for group actions and groupoids

Persistence approximation property for Lp operator algebras

$L^{p}$ coarse Baum-Connes conjecture via $C_{0}$ coarse geometry

Persistence approximation property for $L^{p}$ operator algebras