单的迹稳定秩—C~*-代数的消去性质(英文) 被引量：1

The Cancellation Property of Simple C~*-algebras With Tracial Stable Rank One

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摘要本文证明了一个单的有单位元的迹稳定秩一的C＊-代数具有消去律,利用此结果证明了单的有单位元的迹稳定秩一的C＊-代数是稳定秩一的.最后讨论了迹稳定秩一的C~＊-代数的K0-群的性质. In this paper, we prove that a simple unital C＊-algebra with tracial stable rank one has cancellation property, with this result we show that a simple unital C＊-algebra with tracial stable rank one is stable rank one. In the last part we give a property of Ko-group of C＊-algebras with tracial stable rank one.

作者范庆斋方小春

机构地区上海市复旦大学数学研究所上海市同济大学数学系

出处《数学进展》 CSCD 北大核心 2009年第1期69-74,共6页 Advances in Mathematics（China）

基金 supported by National Natural Science Foundation of China(No.10771161).

关键词 C＊-代数稳定秩一迹稳定秩一 C＊-algebra stable rank tracial stable rank

分类号 O186.12 [理学—基础数学]

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共引文献11

1范庆斋,胡善文,方小春.I^(k)中迹极限C~*-代数的K-群[J].同济大学学报（自然科学版）,2005,33(2):230-233.
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同被引文献10

1范庆斋,方小春.迹稳定秩一的C^＊-代数[J].数学学报（中文版）,2005,48(5):929-934. 被引量：1
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10Qingzhai FAN,Xiaochun FANG.Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property[J].Chinese Annals of Mathematics,Series B,2009,30(2):179-186. 被引量：2

引证文献1

1Qing Zhai FAN,Xiao Chun FANG.A Class of C^(*)-Algebras with Non-stable K_1-Group Property[J].Acta Mathematica Sinica,English Series,2012,28(5):983-988.

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