C*-Algebras of Tracial Real Rank Zero

YAO Hong-liang; HU Shan-wen

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Issue 2

Jun. 2004

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Article Navigation > Journal of East China Normal University (Natural Sciences) > 2004 > (2): 5-12

YAO Hong-liang, HU Shan-wen. C*-Algebras of Tracial Real Rank Zero[J]. Journal of East China Normal University (Natural Sciences), 2004, (2): 5-12.

Citation:

YAO Hong-liang, HU Shan-wen. C*-Algebras of Tracial Real Rank Zero[J]. Journal of East China Normal University (Natural Sciences), 2004, (2): 5-12.

YAO Hong-liang, HU Shan-wen. C*-Algebras of Tracial Real Rank Zero[J]. Journal of East China Normal University (Natural Sciences), 2004, (2): 5-12.

Citation:

YAO Hong-liang, HU Shan-wen. C*-Algebras of Tracial Real Rank Zero[J]. Journal of East China Normal University (Natural Sciences), 2004, (2): 5-12.

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C*-Algebras of Tracial Real Rank Zero

YAO Hong-liang^{1,2
,},
HU Shan-wen¹

1.
Department of Mathematics, East China Normal University, Shanghai 200062, China;
2.
Department of Mathematics, Hebei University, Baoding 071002, China

More Information

Corresponding author: YAO Hong-liang
Received Date: 2002-06-04
Rev Recd Date: 2003-05-02
Publish Date: 2004-06-25

Abstract

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.
- C*-algebrareal ranktracially real rank,