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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

D. Kucerovsky  and
P. W. Ng
D. Kucerovsky
Affiliation:
Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, E3B 5A3 e-mail: dan@math.unb.ca
P. W. Ng
Affiliation:
Department of Mathematics, 217 M.D. Doucet Hall, University of Louisiana at Lafayette, Lafayette, LA 70504, U.S.A. e-mail: pun@louisiana.edu
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Abstract

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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.

Keywords

46L8046L8519K35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 2 , 01 June 2007 , pp. 227 - 233
Copyright
Copyright © Canadian Mathematical Society 2007

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