Proceedings of the American Mathematical Society

Author(s): Huaxin Lin
Journal: Proc. Amer. Math. Soc. 131 (2003), 3813-3819.
MSC (2000): Primary 46L05, 46L35
Posted: March 25, 2003
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Abstract: Let

be a unital simple

-algebra with real rank zero. It is shown that if

satisfies a so-called fundamental comparison property, then

has tracial topological rank zero. Combining some previous results, it is shown that a unital simple

-algebra with real rank zero, stable rank one and weakly unperforated

must have slow dimension growth.

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