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# AF-Skeletons and Real Rank Zero Algebras with the Corona Factorization Property

Published:2007-06-01
Printed: Jun 2007
• D. Kucerovsky
• P. W. Ng
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## Abstract

Let $A$ be a stable, separable, real rank zero $C^{*}$-algebra, and suppose that $A$ has an AF-skeleton with only finitely many extreme traces. Then the corona algebra ${\mathcal M}(A)/A$ is purely infinite in the sense of Kirchberg and R\o rdam, which implies that $A$ has the corona factorization property.
 MSC Classifications: 46L80 - $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22] 46L85 - Noncommutative topology [See also 58B32, 58B34, 58J22] 19K35 - Kasparov theory ($KK$-theory) [See also 58J22]

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