Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (3): 8-14.

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Closing Property of C*-Algebras with Tracial Limit(English)

XIAO Xiang1, HU Shan-wen2   

  1. 1. Fundamental College, Shanghai University of Engineering Science, Shanghai 200336, China}; 2. Department of Mathematics, East China Normal University,Shanghai 200062, China
  • Received:2004-06-14 Revised:2004-12-17 Online:2006-05-25 Published:2006-05-25
  • Contact: XIAO Xiang

Abstract: It was shown that there are some C*-algebras maintaining the closing property with the tracial limit, especially under the condition of simplicity. Suppose A=(t2)limn -> ∞ (An,pn). If each An admits at least one tracial state or has SP-property, then A has the same case. Suppose A=(t3)limn -> ∞ (An,pn) and A is simple. If TR(An)=0, tsr(An)=1 and An has Cancelation of Projection, then A has the same case.

Key words: C*-algebras, closing property, tracial limit, C*-algebras, closing property

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