Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2021.01.14
  • Accepted : 2021.10.27
  • Published : 2022.05.31
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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.

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References

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