STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C∗-ALGEBRAS

Søren Eilers; Gunnar Restorff; Efren Ruiz

doi:10.4134/BKMS.b210047

STRONG CLASSIFICATION OF EXTENSIONS OF CLASSIFIABLE C^∗-ALGEBRAS

Søren Eilers, Gunnar Restorff, Efren Ruiz

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

2 Citationer (Scopus)

24 Downloads (Pure)

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.

Originalsprog	Engelsk
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	https://doi.org/10.4134/BKMS.b210047
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.

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10.4134/BKMS.b210047

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Citationsformater

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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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AU - Restorff, Gunnar

AU - Ruiz, Efren

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Y1 - 2022

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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

SN - 1015-8634

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EP - 608

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

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