STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

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

Harvard

Eilers, S, Restorff, G & Ruiz, E 2022, 'STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS', Bulletin of the Korean Mathematical Society, vol. 59, no. 3, pp. 567-608. https://doi.org/10.4134/BKMS.b210047

APA

Eilers, S., Restorff, G., & Ruiz, E. (2022). STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS. Bulletin of the Korean Mathematical Society, 59(3), 567-608. https://doi.org/10.4134/BKMS.b210047

Vancouver

Eilers S, Restorff G, Ruiz E. STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS. Bulletin of the Korean Mathematical Society. 2022;59(3):567-608. https://doi.org/10.4134/BKMS.b210047

Author

Eilers, Søren ; Restorff, Gunnar ; Ruiz, Efren. / STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS. In: Bulletin of the Korean Mathematical Society. 2022 ; Vol. 59, No. 3. pp. 567-608.

Bibtex

@article{242ec25c2ba249aa90e47ca7e90f70d2,
title = "STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS",
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",
author = "S{\o}ren Eilers and Gunnar Restorff and Efren Ruiz",
note = "Publisher Copyright: {\textcopyright} 2022 Korean Mathematial Soiety.",
year = "2022",
doi = "10.4134/BKMS.b210047",
language = "English",
volume = "59",
pages = "567--608",
journal = "Bulletin of the Korean Mathematical Society",
issn = "1015-8634",
publisher = "Korean Mathematical Society",
number = "3",

}

RIS

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