2 citations · 3 across the 12 of their papers we have counts for
12 papers
Complexity rank one implies real rank zero
Qingnan An, Zhichao Liu
We show that -algebras with complexity rank one have real rank zero, as an application, the uniform Roe algebra has real rank zero.
Bockstein operations and AD algebras with unbounded torsion in
Qingnan An, Zhichao Liu, Xin Ma
Eilers showed that for AD algebras of real rank zero with bounded torsion in , the coefficient transformations are redundant in the classification by ordered scal…
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…
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…
Classification of homomorphisms from to a -algebra
Qingnan An, George Elliott, Zhichao Liu
Let be a compact subset of and let be a unital simple, separable -algebra with stable rank one, real rank zero and strict comparison. We show that, given…
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…
Total Cuntz semigroup, Extension and Elliott Conjecture with Real rank zero
Qingnan An, Zhichao Liu
In this paper, we exhibit two unital, separable, nuclear -algebras of stable rank one and real rank zero with the same ordered scaled total K-theory, but they are not is…
On unital absorbing extensions of C-algebras of stable rank one and real rank zero
Qingnan An, Zhicaho Liu
Suppose that are nuclear, separable -algebras of stable rank one and real rank zero, is unital simple, is stable and is wea…
A total Cuntz semigroup for -algebras of stable rank one
Qingnan An, Zhichao Liu
In this paper, we show that for unital, separable -algebras of stable rank one and real rank zero, the unitary Cuntz semigroup functor and the functor are naturall…
Stable homotopy, 1-dimensional NCCW complexes, and Property (H)
Qingnan An, George A. Elliott, Zhichao Liu +1
In this paper, we show that the homomorphisms between two unital one-dimensional NCCW complexes with the same KK-class are stably homotopic, i.e., with adding on a common homomorph…
On the Classification of Certain Real Rank Zero -Algebras
Qingnan An, Zhichao Liu, Yuanhang Zhang
In this paper, a classification is given of real rank zero -algebras that can be expressed as inductive limits of a sequence of a subclass of Elliott-Thomsen algebras $\mathca…
On the classification of C*-algebras of real rank zero, V
Qingnan An, George A. Elliott, Zhiqiang Li +1
In this paper, we give a K-theoretic classification of real ranks zero inductive limits of generalized dimension drop interval algebras.