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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, 46L85, 19K35 show english descriptions $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
Noncommutative topology [See also 58B32, 58B34, 58J22]
Kasparov theory ($KK$-theory) [See also 58J22]
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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