G. Gong

activity

19932024

most citedClassification of finite simple amenable

Z

-stable

C^{*}

-algebras

71 citations · 184 across the 18 of their papers we have counts for

collaborators

Showing 2016 · math.OAShow all

4 papers · 2 filters

math.OA2016★ 8 cited

The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension

George A. Elliott, Zhuang Niu

The class of simple separable KK-contractible (KK-equivalent to ${0}$ ) C*-algebras which have finite nuclear dimension is shown to classified by the Elliott invariant. In particu…

math.OA2016★ 9 cited

On classification of non-unital simple amenable C*-algebras, I

Guihua Gong, Huaxin Lin

We present a stable uniqueness theorem for non-unital C*-algebras. Generalized tracial rank one is defined for stably projectionless simple C*-algebras. Let $A$ and $B$ be two stab…

math.OA2016★ 7 cited

A classification of inductive limit $C^{*}$ -algebras with ideal property

Guihua Gong, Chunlan Jiang, Liangqing Li

Let $A$ be an $A H$ algebra $A = n \to \infty lim (A_{n} = i = 1 ⨁ t_{n} P_{n, i} M_{[n, i]} (C (X_{n, i})) P_{n, i}, ϕ_{n, m})$ , where $X_{n, i}$ are compact metri…

math.OA2016★ 4 cited

A Reduction theorem for $A H$ algebras with ideal property

Guihua Gong, Chunlan Jiang, Liangqing Li +1

Let $A$ be an $A H$ algebra, that is, $A$ is the inductive limit $C^{*}$ -algebra of $$A_{1}\xrightarrow{ϕ_{1,2}}A_{2}\xrightarrow{ϕ_{2,3}}A_{3}\longrightarrow\cdots\longrightarrow A…

The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension

On classification of non-unital simple amenable C*-algebras, I

A classification of inductive limit C∗-algebras with ideal property

A Reduction theorem for AH algebras with ideal property

A classification of inductive limit $C^{*}$ -algebras with ideal property

A Reduction theorem for $A H$ algebras with ideal property