Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property
Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property作者机构：School of Mathematical Sciences Fudan University Shanghai 200433 China Department of Mathematics Tongji University Shanghai 200092 China
出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)
年 卷 期：2009年第30卷第2期
页 面：179-186页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 070101[理学-基础数学]
基 金：Project supported by the National Natural Science Foundation of China (No. 10771161)
主 题：C*-algebra Stable rank one Real rank zero
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.
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