Qingnan An

activity

20182026

most citedOn the classification of C*-algebras of real rank zero, V

2 citations · 3 across the 12 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

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

Bockstein operations and extensions with trivial boundary maps

Qingnan An, Zhichao Liu

In this paper, we investigate the relationship between ideal structures and the Bockstein operations in the total K-theory, offering various diagrams to demonstrate their effective…

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.OA2024

A latticed total K-theory

Qingnan An, Chunguang Li, Zhichao Liu

In this paper, a new invariant was built towards the classification of separable C*-algebras of real rank zero, which we call latticed total K-theory. A classification theorem is g…

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

Bockstein operations and extensions with trivial boundary maps

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

A latticed total K-theory

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