Liangqing Li

activity

20162019

most citedA classification of inductive limit

C^{*}

-algebras with ideal property

7 citations · 11 across the 5 of their papers we have counts for

collaborators

6 papers

math.OA2019

Hausdorffifized algebraic $K_{1}$ group and invariants for $C^{*}$ -algebras with the ideal property

Guihua Gong, Chunlan Jiang, Liangqing Li

A $C^{*}$ -algebra $A$ is said to have the ideal property if each closed two-sided ideal of $A$ is generated by the projections inside the ideal, as a closed two sided ideal. $C^{*}$ -al…

math.OA2019

On the inductive limit of direct sums of simple TAI algebras

Bo Cui, Chunlan Jiang, Liangqing Li

An ATAI (or ATAF, respectively) algebra, introduced in [Jiang1] (or in [Fa] respectively) is an inductive limit $\lim\limits_{n\rightarrow\infty}(A_{n}=\bigoplus\limits_{i=1}A_{n}^…

math.OA2019

On the Decomposition Theorems for C*-algebras

Chunlan Jiang, Liangqing Li, Kun Wang

Elliott dimension drop interval algebra is an important class among all $C^{*}$ -algebras in the classification theory. Especially, they are building stones of $A H D$ algebra…

math.OA2018

$C^{*}$ exponential length of commutators unitaries in $A H$ algebras

Chun Guang Li, Liangqing Li, Iván Velázquez Ruiz

For each unital $C^{*}$ -algebra $A$ , we denote $ce l_{C U} (A) = sup {ce l (u) : u \in C U (A)}$ , where $ce l (u)$ is the exponential length of $u$ and $C U (A)$ is the closure of the commutator s…

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…

Hausdorffifized algebraic K1​ group and invariants for C∗-algebras with the ideal property

On the inductive limit of direct sums of simple TAI algebras

On the Decomposition Theorems for C*-algebras

C∗ exponential length of commutators unitaries in AH algebras

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

A Reduction theorem for AH algebras with ideal property

Hausdorffifized algebraic $K_{1}$ group and invariants for $C^{*}$ -algebras with the ideal property

$C^{*}$ exponential length of commutators unitaries in $A H$ algebras

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

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