THE EXTENSIONS OF C*-ALGEBRAS WITH TRACIAL TOPOLOGICAL RANK NO MORE THAN ONE

被引：6
|
作者：
Fang, Xiaochun [1 ]
Zhao, Yile [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2009年 / 53卷 / 02期
基金：
中国国家自然科学基金;
关键词：
CLASSIFICATION; ZERO;
D O I：
10.1215/ijm/1266934787
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let 0 -> I -> A -> A/I -> 0 be a short exact sequence of C*-algebras with A unital. Suppose that I has tracial topological rank no more than one and A/I is TAI (in particular, if A/I is simple and has tracial topological rank no more than one). It will be proved that A has tracial topological rank no more than one if the extension is quasidiagonal, and A has the property (P-1) if the extension is tracially quasidiagonal.
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页码：441 / 462
页数：22
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