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.

引用

页数：8

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