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AF-Skeletons and Real Rank Zero Algebras with the Corona Factorization Property
Published online by Cambridge University Press: 20 November 2018
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 $\mathcal{M}\left( A \right)/A$ is purely infinite in the sense of Kirchberg and Rørdam, which implies that $A$ has the corona factorization property.
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- Copyright © Canadian Mathematical Society 2007
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