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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.
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Key words:
- C*-algebrareal ranktracially real rank /
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