The tracial topological rank of certain C*-algebras

被引：0

作者：

XiaoChun Fang

YiLe Zhao

机构：

[1] Tongji University,Department of Mathematics

来源：

Science China Mathematics | 2011年 / 54卷

关键词：

tracial topological rank; quasidiagonal extension; tracially quasidiagonal extension; 46L05; 46L35;

D O I：

暂无

中图分类号：

学科分类号：

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 belongs to a class of certain C*-algebras. We show that A has tracial topological rank no more than one if the extension is quasidiagonal, and A has the property (P1) if the extension is tracially quasidiagonal.

引用

页码：2295 / 2307

页数：12

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