A Short Return to Simple Ah-Algebras with Real Rank Zero

  • Huaxin Lin

Abstract

Let $A$ be a unital simple AH-algebra with stable rank one and real rank zero such that $kx=0$ for all $x\in\operatorname{ker}\rho_A$, the subgroup of infinitesmal elements in $K_0(A)$, and for the same integer $k\ge 1$. We show that $A$ has tracial rank zero and is isomorphic to a unital simple AH-algebra with no dimension growth.
Published
2014-05-06
How to Cite
Lin, H. (2014). A Short Return to Simple Ah-Algebras with Real Rank Zero. MATHEMATICA SCANDINAVICA, 114(2), 264-274. https://doi.org/10.7146/math.scand.a-17111
Section
Articles