REAL RANK AND STABLE RANK OF C*-ALGEBRAS WITH TRACIAL RANK ZERO

被引：0

作者：

Fang, Xiaochun ^{[1
]}

Yang, Xinbing ^{[2
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2009年 / 35卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Tracial rank; stable rank; real rank; TOPOLOGICAL RANK; INDUCTIVE LIMITS; STAR-ALGEBRAS; EXTENSIONS; CLASSIFICATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that a unital separable simple C*-algebra A with tracial rank zero has stable rank one and real rank zero. In this note, we use the generalized inductive limits to construct a non-simple C*-algebra E-infinity. Then we show that the tracial rank of E-infinity is zero, but the stable rank of E-infinity is not one and the real rank of E-infinity is not zero.

引用

页码：1111 / 1129

页数：19

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