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

• Autores: Huaxin Lin
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 114, Nº 2, 2014, págs. 264-274
• Idioma: inglés
• DOI: 10.7146/math.scand.a-17111
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• Resumen

  • 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.