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.

引用

页码：441 / 462

页数：22

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