Hereditary C*-subalgebras of graph C*-algebras

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Standard

Hereditary C*-subalgebras of graph C*-algebras. / Arklint, Sara E.; Gabe, James; Ruiz, Efren.

I: Journal of Operator Theory, Bind 84, Nr. 1, 2020, s. 99-126.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Arklint, SE, Gabe, J & Ruiz, E 2020, 'Hereditary C*-subalgebras of graph C*-algebras', Journal of Operator Theory, bind 84, nr. 1, s. 99-126. https://doi.org/10.7900/jot.2019jan21.2230

APA

Arklint, S. E., Gabe, J., & Ruiz, E. (2020). Hereditary C*-subalgebras of graph C*-algebras. Journal of Operator Theory, 84(1), 99-126. https://doi.org/10.7900/jot.2019jan21.2230

Vancouver

Arklint SE, Gabe J, Ruiz E. Hereditary C*-subalgebras of graph C*-algebras. Journal of Operator Theory. 2020;84(1):99-126. https://doi.org/10.7900/jot.2019jan21.2230

Author

Arklint, Sara E. ; Gabe, James ; Ruiz, Efren. / Hereditary C*-subalgebras of graph C*-algebras. I: Journal of Operator Theory. 2020 ; Bind 84, Nr. 1. s. 99-126.

Bibtex

@article{cd35ac91dcb44774808cad839abcac4f,
title = "Hereditary C*-subalgebras of graph C*-algebras",
abstract = "We show that a C*-algebra A which is stably isomorphic to a unital graph C*-algebra, is isomorphic to a graph C*-algebra if and only if it admits an approximate unit of projections. As a consequence, a hereditary C*-subalgebra of a unital real rank zero graph C*-algebra is isomorphic to a graph C*-algebra. Furthermore, if a C*-algebra A admits an approximate unit of projections, then its minimal unitization is isomorphic to a graph C*-algebra if and only if A is stably isomorphic to a unital graph C*-algebra.",
keywords = "Graph C*-algebras, Hereditary C*-subalgebras",
author = "Arklint, {Sara E.} and James Gabe and Efren Ruiz",
year = "2020",
doi = "10.7900/jot.2019jan21.2230",
language = "English",
volume = "84",
pages = "99--126",
journal = "Journal of Operator Theory",
issn = "0379-4024",
publisher = "Academia Romana Institutul de Matematica",
number = "1",

}

RIS

TY - JOUR

T1 - Hereditary C*-subalgebras of graph C*-algebras

AU - Arklint, Sara E.

AU - Gabe, James

AU - Ruiz, Efren

PY - 2020

Y1 - 2020

N2 - We show that a C*-algebra A which is stably isomorphic to a unital graph C*-algebra, is isomorphic to a graph C*-algebra if and only if it admits an approximate unit of projections. As a consequence, a hereditary C*-subalgebra of a unital real rank zero graph C*-algebra is isomorphic to a graph C*-algebra. Furthermore, if a C*-algebra A admits an approximate unit of projections, then its minimal unitization is isomorphic to a graph C*-algebra if and only if A is stably isomorphic to a unital graph C*-algebra.

AB - We show that a C*-algebra A which is stably isomorphic to a unital graph C*-algebra, is isomorphic to a graph C*-algebra if and only if it admits an approximate unit of projections. As a consequence, a hereditary C*-subalgebra of a unital real rank zero graph C*-algebra is isomorphic to a graph C*-algebra. Furthermore, if a C*-algebra A admits an approximate unit of projections, then its minimal unitization is isomorphic to a graph C*-algebra if and only if A is stably isomorphic to a unital graph C*-algebra.

KW - Graph C-algebras

KW - Hereditary C-subalgebras

UR - http://www.scopus.com/inward/record.url?scp=85088273747&partnerID=8YFLogxK

U2 - 10.7900/jot.2019jan21.2230

DO - 10.7900/jot.2019jan21.2230

M3 - Journal article

AN - SCOPUS:85088273747

VL - 84

SP - 99

EP - 126

JO - Journal of Operator Theory

JF - Journal of Operator Theory

SN - 0379-4024

IS - 1

ER -

ID: 249247356