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

Department of Mathematical Sciences

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

2 Citations (Scopus)

16 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.

Original language	English
Journal	Bulletin of the Korean Mathematical Society
Volume	59
Issue number	3
Pages (from-to)	567-608
Number of pages	42
ISSN	1015-8634
DOIs	https://doi.org/10.4134/BKMS.b210047
Publication status	Published - 2022

Bibliographical note

Publisher Copyright:
© 2022 Korean Mathematial Soiety.

Keywords

Classification
extensions
graph algebras

Access to Document

10.4134/BKMS.b210047

FulltextSubmitted manuscript, 347 KBLicence: CC BY

Cite this

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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.",

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author = "S{\o}ren Eilers and Gunnar Restorff and Efren Ruiz",

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AU - Restorff, Gunnar

AU - Ruiz, Efren

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Y1 - 2022

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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

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DO - 10.4134/BKMS.b210047

M3 - Journal article

AN - SCOPUS:85131637714

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EP - 608

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

SN - 1015-8634

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