STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS
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STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS. / Eilers, Søren; Restorff, Gunnar; Ruiz, Efren.
In: Bulletin of the Korean Mathematical Society, Vol. 59, No. 3, 2022, p. 567-608.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS
AU - Eilers, Søren
AU - Restorff, Gunnar
AU - Ruiz, Efren
N1 - Publisher Copyright: © 2022 Korean Mathematial Soiety.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - Classification
KW - extensions
KW - graph algebras
UR - http://www.scopus.com/inward/record.url?scp=85131637714&partnerID=8YFLogxK
U2 - 10.4134/BKMS.b210047
DO - 10.4134/BKMS.b210047
M3 - Journal article
AN - SCOPUS:85131637714
VL - 59
SP - 567
EP - 608
JO - Bulletin of the Korean Mathematical Society
JF - Bulletin of the Korean Mathematical Society
SN - 1015-8634
IS - 3
ER -
ID: 314449181