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20192026
most citedSome Permanence for Large Subalgebra

1 citations · 1 across the 12 of their papers we have counts for

collaborators

12 papers

math.OA2026

Certain Cuntz semigroup properties of extension C*-algebras

Qingzhai Fan

Let be a short exact sequence of C*-algebras. In this paper, we prove that if an…

math.OA2024

The inheritance tracial topological rank zero for centrally large subalgebra

Qingzhai Fan, Xiaochun Fang

Let be an infinite-dimensional unital simple C*-algebra such that A has - property for any . Let be a centrally large subalgebra of $A…

math.OA2023

Non unital generalized tracially approximated C*-algebras

George A. Elliott, Qingzhai Fan, Xiaochun Fang

Let be a class of -algebras. In this paper, we study a class of not necessarily unital generalized tracial approximation -algebras, and the class of simpl…

math.OA2023

some properties for asymptotically tracially approximation of C*-algebras

Qingzhai Fan, Yutong Wu

Let be a class of unital -algebras. The class of -algebras which are asymptotical tracially in , denoted by . In this paper, we will show th…

math.OA2023

Certain properties of generalized tracially approximated C*-algebras

Qingzhai Fan, Jiahui Wang

We show that the following properties of unital -algebra in a class of are preserved by unital simple -algebra in the class of : uniform p…

math.OA2022

Certain tracially nuclear dimensional for certain crossed product -algebras

Qingzhai Fan, Jiahui Wang

Let be a class of unital -algebras which have the second type tracial nuclear dimensional at moat (or have tracial nuclear dimensional at most ). Let be a…

math.OA2022

Non-unital tracially approximated -algebras

Qingzhai Fan, Chengyu Long, Shan Zhang

In this paper, we introduce a class of non-unital tracial approximation -algebras. Consider the class of -algebras which are tracially -absorbing…

math.OA2022

Divisible properties for asymptotically tracially approximation -algebras

Qingzhai Fan, Jiahui Wang

We show that the following divisible properties of the -algebras in a class are inherited by simple unital -algebras in the class of asymptotica…

math.OA2022

Generalized Tracially Approximated C*-algebras

George A. Elliott, Qingzhai Fan, Xiaochun Fang

In this paper, we introduce some classes of generalized tracial approximation -algebras. Consider the class of unital -algebras which are tracially $\mathcal{…

math.OA2021

Comparison properties of asymptotically tracially approximation C*-algebras

Qingzhai Fan, Xiaochun Fang

We show that the following properties of the C*-algebras in a class are inherited by simple unital -algebras in the class of asymptotically tracially in $\…

math.OA2021

Some properties for certain generalized tracial approximated -algebras

Qingzhai Fan, Xiaochun Fang

In this paper, we introduce a class of generalized tracial approximation -algebras. Let be a class of unital -algebras which have tracially $\ma…

math.OA2019★ 1 cited

Some Permanence for Large Subalgebra

Xia Zhao, Xiaochun Fang, Qingzhai Fan

In this paper, we give two properties of C*-algebra that could be deduced from the properties of its large subalgebra. Let A be an infinite dimensional simple unital C*-algebra and…