AF-Skeletons and Real Rank Zero Algebras with the Corona Factorization Property
Canadian mathematical bulletin, Tome 50 (2007) no. 2, pp. 227-233
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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.
Kucerovsky, D.; Ng, P. W. AF-Skeletons and Real Rank Zero Algebras with the Corona Factorization Property. Canadian mathematical bulletin, Tome 50 (2007) no. 2, pp. 227-233. doi: 10.4153/CMB-2007-024-x
@article{10_4153_CMB_2007_024_x,
author = {Kucerovsky, D. and Ng, P. W.},
title = {AF-Skeletons and {Real} {Rank} {Zero} {Algebras} with the {Corona} {Factorization} {Property}},
journal = {Canadian mathematical bulletin},
pages = {227--233},
year = {2007},
volume = {50},
number = {2},
doi = {10.4153/CMB-2007-024-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-024-x/}
}
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