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Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property 被引量:2

Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property
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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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第2期179-186,共8页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China (No. 10771161)
关键词 C*-algebra Stable rank one Real rank zero 稳定秩 有限集团 产品 知识产权 无穷维 有限群 证明 财产
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参考文献17

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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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  • 3H. X. Lin.An Introduction to the Classification of Amenable C*-Algebras[]..2001
  • 4H. X. Lin,H. Osaka.Tracially quasidicagonal extensions and topological stable rank[].Illinois Journal of Mathematics.2003
  • 5G. A. Elliott,Z. Niu.On tracial approximation[].Journal of Functional Analysis.2008
  • 6L. G. Brown,G. K. Pedersen.Ideal structure and C*-algebras of low rank[].Mathematica Scandinavica.2007
  • 7S. W. Hu,H. X. Lin,Y. F. Xue.K-theory of C*-algebras with tracial topological rank k[].Internat J Math.2003
  • 8H. X. Lin.The tracial topological rank of C*-algebras[].Proceedings of the London Mathematical Society.2001
  • 9Brown, L. G,Pedersen, G. K.Non-stable K-theroy and extremally rich C -algebras[]..
  • 10范庆斋,方小春.单的迹稳定秩—C~*-代数的消去性质(英文)[J].数学进展,2009,38(1):69-74. 被引量:1

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