Comparison Properties for Asymptotically Tracially Approximation C^(*)-algebras  

作　　者：Qing Zhai FAN Xiao Chun FANG 

机构地区：[1]College of Education,Shanghai Jian Qiao University,Shanghai 201306,P.R.China [2]Department of Mathematics,Shanghai Maritime University,Shanghai 201306,P.R.China [3]Department of Mathematics,Tongji University,Shanghai 200092,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第5期863-884,共22页数学学报（英文版）

基　　金：Supported by the National Natural Sciences Foundation of China (Grant No. 11871375)。

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) α-comparison(1 ≤ α < ∞).

关 键 词：C*-ALGEBRAS asymptotically tracially approximation Cuntz semigroup 

分 类 号：O15[理学—数学]