Journal of East China Normal University(Natural Sc ›› 2004, Vol. 2004 ›› Issue (2): 5-12.

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C*-Algebras of Tracial Real Rank Zero

YAO Hong-liang1，2, HU Shan-wen1   

  1. 1. Department of Mathematics, East China Normal University, Shanghai 200062, China;2. Department of Mathematics, Hebei University, Baoding 071002, China
  • Received:2002-06-04 Revised:2003-05-02 Online:2004-06-25 Published:2004-06-25
  • Contact: YAO Hong-liang

Abstract: In this paper, we introduce a class of C*-algebras which have tracially real rank zero. We show that if A is a unital C*-algebra with tracial real rank zero and B is a AF-algebra, then A×B has tracial real rank zero. If a unital simple C*-algebra has tracially real rank zero, then it has real rank zero.

Key words: real rank, tracially real rank, C*-algebra, real rank, tracially real rank

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