7 papers · 1 filter
Rokhlin dimension for actions of residually compact groups
Xin Cao, Xiaochun Fang, Jianchao Wu
We introduce the concept of Rokhlin dimension for actions of residually compact groups on C*-algebras, which extends and unifies previous notions for actions of compact groups, res…
Crossed products by compact group actions with the weak tracial Rokhlin property
Xiaochun Fang, Haotian Tian
In this paper, we introduce compact group actions with the weak tracial Rokhlin property. This concept simultaneously generalizes finite group actions with the weak tracial Rokhlin…
Uniform property for Crossed products by group actions with the Rokhlin-type properties
Xiaochun Fang, Haotian Tian
In this paper, let be a unital separable simple infinite dimensional C*-algebra which has uniform property . Let be an action of a finite grou…
Stable rank for crossed products by finite group actions with the weak tracial Rokhlin property
Xiaochun Fang, Zhongli Wang
Let be an infinite-dimensional stably finite simple unital C*-algebra, let be a finite group, and let be an action of on whic…
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…
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…
Large subalgebras of crossed products of -algebras
Xiaochun Fang, N. C. Phllips, Junqi Yang
In this paper, we construct large subalgebras of crossed product C*-algebras of noncommutative C*-dynamics from ideals. We apply our results to study locally trivial unital -…