STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS
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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.
Originalsprog | Engelsk |
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Tidsskrift | Bulletin of the Korean Mathematical Society |
Vol/bind | 59 |
Udgave nummer | 3 |
Sider (fra-til) | 567-608 |
Antal sider | 42 |
ISSN | 1015-8634 |
DOI | |
Status | Udgivet - 2022 |
Bibliografisk note
Funding Information:
The authors would like to thank the referee for their careful reading, and the corrections and suggestions they provided that improved the paper.
Publisher Copyright:
© 2022 Korean Mathematial Soiety.
ID: 314449181