Uniform property Γ for certain C*-algebras

被引：0
|
作者：
Fan, Qingzhai [1 ,2 ]
Zhang, Shan [1 ]
机构：
[1] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
[2] Shanghai Jian Qiao Univ, China Coll Educ, Shanghai 201306, Peoples R China
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2022年
关键词：
C*-algebras; tracial approximation; Cuntz semigroup; CROSSED-PRODUCTS; CLASSIFICATION; RANK;
D O I：
10.4153/S0008439521001065
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, let A be an infinite-dimensional stably finite unital simple separable C*-algebra. Let B subset of A be a centrally large subalgebra in A such that B has uniform property Gamma. Then we prove that A has uniform property Gamma. Let Omega be a class of stably finite unital C*-algebras such that for any B is an element of Omega, B has uniform property Gamma. Then we show that A has uniform property Gamma for any simple unital C*-algebra A is an element of TA Omega.
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页数：8
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