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20052023
most citedOn majorization and range inclusion of operators on Hilbert -modules

14 citations · 22 across the 10 of their papers we have counts for

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8 papers · 1 filter

math.OA2023

A note on the weak tracial Rokhlin property for finite group actions on simple unital C*-algebras

Xiaochun Fang, Zhongli Wang

In this paper, we show that one of the conditions in the definition of weak tracial Rokhlin property for finite group actions on simple unital C*-algebras can be replaced by a seem…

math.OA2022★ 1 cited

Some Permanence properties for crossed products by compact group actions with the tracial Rokhlin property

Haotian Tian, Xiaochun Fang

In this paper, we give some properties of the fixed point algebra and the crossed product of a unital separable simple infinite dimensional C*-algebra by an action of a second-coun…

math.OA2022

A remark on weak tracial approximation

Xiaochun Fang, Junqi Yang

In this paper, we point out that the definition of weak tracial approximation can be improved and strengthened. An example of weak tracial approximation is also provided.

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

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…

math.OA2017★ 14 cited

On majorization and range inclusion of operators on Hilbert -modules

Xiaochun Fang, Mohammad Sal Moslehian, Qingxiang Xu

It is proved that for adjointable operators and between Hilbert -modules, certain majorization conditions are always equivalent without any assumptions on $\overline{\…

math.OA2005★ 1 cited

Embedding of Crossed Products of Certain Graph -Algebras by Quasi-free Actions

Xiaochun Fang

We introduce the labelling map and the quasi-free action of a locally compact abelian group on a graph -algebra of a row-finite directed graph. Some necessary conditions for e…