71 citations · 184 across the 18 of their papers we have counts for
18 papers
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…
A review of the Elliott program of classification of simple amenable C*-algebras
Guihua Gong, Huaxin Lin, Zhuang Niu
We give a brief survey of the development of the Elliott program of classification of separable simple amenable -algebras.
On classification of non-unital amenable simple C*-algebras, III, Stably projectionless C*-algebras
Guihua Gong, Huaxin Lin
We show, based on previous results, that two separable simple stably projectionless amenable -stable -algebras which satisfy the UCT are isomorphic if and only if th…
On classification of non-unital amenable simple C*-algebras, III, the range and the reduction
Huaxin Lin, Guihua Gong
Following Elliott's earlier work, we show that the Elliott invariant of any finite separable simple -algebra with finite nuclear dimension can always be described as a scaled…
A classification of finite simple amenable Z-stable C*-algebras, II, --C*-algebras with rational generalized tracial rank one
Guihua Gong, Huaxin Lin, Z. Niu
A classification theorem is obtained for a class of unital simple separable amenable Z-stable C*-algebras which exhausts all possible values of the Elliott invariant for unital sta…
Hausdorffifized algebraic group and invariants for -algebras with the ideal property
Guihua Gong, Chunlan Jiang, Liangqing Li
A -algebra is said to have the ideal property if each closed two-sided ideal of is generated by the projections inside the ideal, as a closed two sided ideal. -al…
A classification of finite simple amenable -stable -algebras, I: -algebras with generalized tracial rank one
Guihua Gong, Huaxin Lin, Zhuang Niu
A class of -algebras, to be called those of generalized tracial rank one, is introduced, and classified by the Elliott invariant. A second class of unital simple separable ame…
The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension
George A. Elliott, Guihua Gong, Huaxin Lin +1
The class of simple separable KK-contractible (KK-equivalent to ) C*-algebras which have finite nuclear dimension is shown to be classified by the Elliott invariant. In part…
Simple stably projectionless C*-algebras with generalized tracial rank one
George A. Elliott, Guihua Gong, Huaxin Lin +1
We study a class of stably projectionless simple C*-algebras which may be viewed as having generalized tracial rank one in analogy with the unital case. Some structural question co…
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 ) C*-algebras which have finite nuclear dimension is shown to classified by the Elliott invariant. In particu…
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 and be two stab…
A classification of inductive limit -algebras with ideal property
Guihua Gong, Chunlan Jiang, Liangqing Li
Let be an algebra , where are compact metri…
A Reduction theorem for algebras with ideal property
Guihua Gong, Chunlan Jiang, Liangqing Li +1
Let be an algebra, that is, is the inductive limit -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 unital locally ASH algebras
George A. Elliott, Guihua Gong, Huaxin Lin +1
Let be a simple separable unital locally approximately subhomogeneous C*-algebra (locally ASH algebra). It is shown that can be tracially approximated by unital El…
On the classification of simple amenable -algebras with finite decomposition rank, II
George A. Elliott, Guihua Gong, Huaxin Lin +1
We prove that every unital stably finite simple amenable -algebra with finite nuclear dimension and with UCT such that every trace is quasi-diagonal has the property that…
Classification of finite simple amenable -stable -algebras
Guihua Gong, Huaxin Lin, Zhuang Niu
We present a classification theorem for a class of unital simple separable amenable -stable -algebras by the Elliott invariant. This class of simple -algebras e…
Determinant Rank of C*-algebras
Guihua Gong, Huaxin Lin, Yifeng Xue
Let be a unital -algebra and let be the group of unitaries of which are path connected to the identity. Denote by the closure of the commutator subgro…
Relative -cycles and elliptic boundary conditions
Guihua Gong
In this paper, we discuss the following conjecture raised by Baum-Douglas: For any first-order elliptic differential operator on smooth manifold with boundary $\p M$, p…