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http://dx.doi.org/10.4134/BKMS.b210047

STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C*-ALGEBRAS  

Eilers, Soren (Department of Mathematical Sciences University of Copenhagen)
Restorff, Gunnar (Faculty of Science and Technology University of the Faroe Islands)
Ruiz, Efren (Department of Mathematics University of Hawaii)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.3, 2022 , pp. 567-608 More about this Journal
Abstract
We show that certain extensions of classifiable C*-algebras are strongly classified by the associated six-term exact sequence in K-theory together with the positive cone of K0-groups of the ideal and quotient. We use our results to completely classify all unital graph C*-algebras with exactly one non-trivial ideal.
Keywords
Classification; extensions; graph algebras;
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