The extension problem for graph C*-algebras

Søren Eilers; James Gabe; Takeshi Katsura; Efren Ruiz; Mark Tomforde

doi:10.2140/akt.2020.5.295

The extension problem for graph C*-algebras

Søren Eilers, James Gabe, Takeshi Katsura, Efren Ruiz, Mark Tomforde

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

Abstract

We give a complete $K$-theoretical description of when an extension of two simple graph $C^{*}$-algebras is again a graph $C^{*}$-algebra.

Original language	English
Journal	Annals of K-Theory
Volume	5
Issue number	2
Pages (from-to)	295-315
ISSN	2379-1683
DOIs	https://doi.org/10.2140/akt.2020.5.295
Publication status	Published - 20. Jun 2020
Externally published	Yes

Bibliographical note

Accepted version, to appear in Annals of K-theory

Keywords

math.OA
46L55
Graph C*-algebras
Fullness
Extensions
K-theory

Documents & Links

10.2140/akt.2020.5.295

https://arxiv.org/pdf/1810.12147v2

Cite this

@article{f99c542ab83249baa2ed46596ca42275,

title = "The extension problem for graph C*-algebras",

abstract = " We give a complete $K$-theoretical description of when an extension of two simple graph $C^{*}$-algebras is again a graph $C^{*}$-algebra. ",

keywords = "math.OA, 46L55, Graph C*-algebras, Fullness, Extensions, K-theory",

author = "S{\o}ren Eilers and James Gabe and Takeshi Katsura and Efren Ruiz and Mark Tomforde",

note = "Accepted version, to appear in Annals of K-theory",

year = "2020",

month = jun,

day = "20",

doi = "10.2140/akt.2020.5.295",

language = "English",

volume = "5",

pages = "295--315",

journal = "Annals of K-Theory",

issn = "2379-1683",

publisher = "Mathematical Sciences Publishers",

number = "2",

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TY - JOUR

T1 - The extension problem for graph C*-algebras

AU - Eilers, Søren

AU - Gabe, James

AU - Katsura, Takeshi

AU - Ruiz, Efren

AU - Tomforde, Mark

N1 - Accepted version, to appear in Annals of K-theory

PY - 2020/6/20

Y1 - 2020/6/20

N2 - We give a complete $K$-theoretical description of when an extension of two simple graph $C^{*}$-algebras is again a graph $C^{*}$-algebra.

AB - We give a complete $K$-theoretical description of when an extension of two simple graph $C^{*}$-algebras is again a graph $C^{*}$-algebra.

KW - math.OA

KW - 46L55

KW - Graph C-algebras

KW - Fullness

KW - Extensions

KW - K-theory

U2 - 10.2140/akt.2020.5.295

DO - 10.2140/akt.2020.5.295

M3 - Journal article

SN - 2379-1683

VL - 5

SP - 295

EP - 315

JO - Annals of K-Theory

JF - Annals of K-Theory

IS - 2

ER -

The extension problem for graph C*-algebras

Abstract

Bibliographical note

Keywords

Documents & Links

Fingerprint

Cite this