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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.
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
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