Jian-Guo Zhang

activity

20192026

most citedPersistence approximation property for

L^{p}

operator algebras

2 citations · 3 across the 8 of their papers we have counts for

collaborators

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

math.DS2024

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 étale groupoids. Moreover, w…

math.FA2023

$L^{p}$ 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.OA2022★ 2 cited

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 $…

math.OA2022

$B_{r}^{p} (F_{n})$ has no nontrivial idempotents

Yifan Liu, Jianguo Zhang

We show that there is no nontrivial idempotent in the reduced group $ℓ^{p}$ -operator algebra $B_{r}^{p} (F_{n})$ of the free group $F_{n}$ on $n$ generators for each positive integer $n$ .

math.OA2021

Open Cones and $K$ -theory for $ℓ^{p}$ Roe Algebras

Jianguo Zhang

In this paper, we verify the $ℓ^{p}$ coarse Baum-Connes conjecture for open cones and show that the $K$ -theory for $ℓ^{p}$ Roe algebras of open cones are independent of $p\in[1,\…

math.FA2021

Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability

Jianguo Zhang, Dapeng Zhou

In this paper, we introduce the concept of uniformly bounded fibred coarse embeddability of metric spaces, generalizing the notion of fibred coarse embeddability defined by X. Chen…

math.KT2019★ 1 cited

$L^{p}$ Coarse Baum-Connes Conjecture and $K$ -theory for $L^{p}$ Roe Algebras

Jianguo Zhang, Dapeng Zhou

In this paper, we verify the $L^{p}$ coarse Baum-Connes conjecture for spaces with finite asymptotic dimension for $p \in [1, \infty)$ . We also show that the $K$ -theory of $L^{p}$ Roe alg…

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

Dynamic asymptotic dimension growth for group actions and groupoids

Lp coarse Baum-Connes conjecture via C0​ coarse geometry

Persistence approximation property for Lp operator algebras

Brp​(Fn​) has no nontrivial idempotents

Open Cones and K-theory for ℓp Roe Algebras

Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability

Lp Coarse Baum-Connes Conjecture and K-theory for Lp Roe Algebras

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

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

$B_{r}^{p} (F_{n})$ has no nontrivial idempotents

Open Cones and $K$ -theory for $ℓ^{p}$ Roe Algebras

$L^{p}$ Coarse Baum-Connes Conjecture and $K$ -theory for $L^{p}$ Roe Algebras