Qingnan An

collaborators

3 papers

math.OA2024

Subhomogeneity in the classification of real rank zero C*-algebras

Qingnan An, Søren Eilers, Guihua Gong +1

In this paper, we construct a class of ASH algebras of real rank zero and stable rank one which is not K-pure. Then we show the following: (i) There exists a real rank zero inducti…

math.OA2024

Classification of homomorphisms from $C (Ω)$ to a $C^{*}$ -algebra

Qingnan An, George Elliott, Zhichao Liu

Let $Ω$ be a compact subset of $C$ and let $A$ be a unital simple, separable $C^{*}$ -algebra with stable rank one, real rank zero and strict comparison. We show that, given…

math.OA2023

On unital absorbing extensions of C $^{*}$ -algebras of stable rank one and real rank zero

Qingnan An, Zhicaho Liu

Suppose that $A, B$ are nuclear, separable $C^{*}$ -algebras of stable rank one and real rank zero, $A$ is unital simple, $B$ is stable and $(K_{0} (B), K_{0}^{+} (B))$ is wea…

Subhomogeneity in the classification of real rank zero C*-algebras

Classification of homomorphisms from C(Ω) to a C∗-algebra

On unital absorbing extensions of C∗-algebras of stable rank one and real rank zero

Classification of homomorphisms from $C (Ω)$ to a $C^{*}$ -algebra

On unital absorbing extensions of C $^{*}$ -algebras of stable rank one and real rank zero