Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property

被引：13

作者：

Fan, Qingzhai ^{[1
]}

Fang, Xiaochun ^{[2
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

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

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2009年 / 30卷 / 02期

基金：

中国国家自然科学基金;

关键词：

C*-algebra; Stable rank one; Real rank zero; C-ASTERISK-ALGEBRAS; TOPOLOGICAL RANK; AUTOMORPHISMS;

D O I：

10.1007/s11401-007-0563-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors prove that the crossed product of an infinite dimensional simple separable unital C*-algebra with stable rank one by an action of a finite group with the tracial Rokhlin property has again stable rank one. It is also proved that the crossed product of an infinite dimensional simple separable unital C*-algebra with real rank zero by an action of a finite group with the tracial Rokhlin property has again real rank zero.

引用

页码：179 / 186

页数：8

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