Geometric classification of isomorphism of unital graph C∗-algebras

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Standard

Geometric classification of isomorphism of unital graph C∗-algebras. / Arklint, Sara E.; Eilers, Søren; Ruiz, Efren.

I: New York Journal of Mathematics, Bind 28, 2022, s. 927-957.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Arklint, SE, Eilers, S & Ruiz, E 2022, 'Geometric classification of isomorphism of unital graph C∗-algebras', New York Journal of Mathematics, bind 28, s. 927-957.

APA

Arklint, S. E., Eilers, S., & Ruiz, E. (2022). Geometric classification of isomorphism of unital graph C∗-algebras. New York Journal of Mathematics, 28, 927-957.

Vancouver

Arklint SE, Eilers S, Ruiz E. Geometric classification of isomorphism of unital graph C∗-algebras. New York Journal of Mathematics. 2022;28:927-957.

Author

Arklint, Sara E. ; Eilers, Søren ; Ruiz, Efren. / Geometric classification of isomorphism of unital graph C∗-algebras. I: New York Journal of Mathematics. 2022 ; Bind 28. s. 927-957.

Bibtex

@article{19d0a3e7011b43da888d077ebe7737d2,
title = "Geometric classification of isomorphism of unital graph C∗-algebras",
abstract = "We geometrically describe the relation induced on a set of graphs by isomorphism of their associated graph c∗-algebras as the smallest equivalence relation generated by five types of moves. The graphs studied have finitely many vertices and finitely or countably infinitely many edges, corresponding to unital and separable c∗-algebras.",
keywords = "C-algebra, graph algebra, k-theory",
author = "Arklint, {Sara E.} and S{\o}ren Eilers and Efren Ruiz",
note = "Publisher Copyright: {\textcopyright} 2022, University at Albany. All rights reserved.",
year = "2022",
language = "English",
volume = "28",
pages = "927--957",
journal = "New York Journal of Mathematics",
issn = "1076-9803",
publisher = "Electronic Journals Project",

}

RIS

TY - JOUR

T1 - Geometric classification of isomorphism of unital graph C∗-algebras

AU - Arklint, Sara E.

AU - Eilers, Søren

AU - Ruiz, Efren

N1 - Publisher Copyright: © 2022, University at Albany. All rights reserved.

PY - 2022

Y1 - 2022

N2 - We geometrically describe the relation induced on a set of graphs by isomorphism of their associated graph c∗-algebras as the smallest equivalence relation generated by five types of moves. The graphs studied have finitely many vertices and finitely or countably infinitely many edges, corresponding to unital and separable c∗-algebras.

AB - We geometrically describe the relation induced on a set of graphs by isomorphism of their associated graph c∗-algebras as the smallest equivalence relation generated by five types of moves. The graphs studied have finitely many vertices and finitely or countably infinitely many edges, corresponding to unital and separable c∗-algebras.

KW - C-algebra

KW - graph algebra

KW - k-theory

UR - http://www.scopus.com/inward/record.url?scp=85133891304&partnerID=8YFLogxK

M3 - Journal article

AN - SCOPUS:85133891304

VL - 28

SP - 927

EP - 957

JO - New York Journal of Mathematics

JF - New York Journal of Mathematics

SN - 1076-9803

ER -

ID: 317818670