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

Showing math.OAShow all

4 papers · 1 filter

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.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,\…

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

Persistence approximation property for Lp operator algebras

Brp​(Fn​) has no nontrivial idempotents

Open Cones and K-theory for ℓp Roe Algebras

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