Bull. Korean Math. Soc.
Published online May 11, 2022
Copyright © The Korean Mathematical Society.
Søren Eilers, Gunnar Restorff, and Efren Ruiz
University of Copenhagen, University of the Faroe Islands, University of Hawaii, Hilo
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 $K_0$-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
MSC numbers: 46L35
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