Simple 𝐴𝐻-algebras of real rank zero-Reference-Cited by-同舟云学术

Simple 𝐴𝐻-algebras of real rank zero

Published:2003-03-25 Issue:12 Volume:131 Page:3813-3819
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lin Huaxin

Abstract

Let A A be a unital simple A H AH -algebra with real rank zero. It is shown that if A A satisfies a so-called fundamental comparison property, then A A has tracial topological rank zero. Combining some previous results, it is shown that a unital simple A H AH -algebra with real rank zero, stable rank one and weakly unperforated K 0 ( A ) K_0(A) must have slow dimension growth.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2003-131-12/S0002-9939-03-06995-8/S0002-9939-03-06995-8.pdf

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