Comparison Properties for Asymptotically Tracially Approximation C*-algebras

被引：0
|
作者：
Fan, Qing Zhai [1 ,2 ]
Fang, Xiao Chun [3 ]
机构：
[1] Shanghai Jian Qiao Univ, Coll Educ, Shanghai 201306, Peoples R China
[2] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
[3] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2023年 / 39卷 / 05期
基金：
中国国家自然科学基金;
关键词：
C*-algebras; asymptotically tracially approximation; Cuntz semigroup; NUCLEAR DIMENSION; RANK;
D O I：
10.1007/s10114-023-1662-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the following properties of the C-*-algebras in a class P are inherited by simple unital C-*-algebras in the class of asymptotically tracially in P: (1) n-comparison, (2) a-comparison (1 = a < 8).
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页码：863 / 884
页数：22
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