The extension problem for graph C*-algebras

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

doi:10.2140/akt.2020.5.295

The extension problem for graph C*-algebras

Soren Eilers^*, James Gabe, Takeshi Katsura, Efren Ruiz, Mark Tomforde

^*Corresponding author for this work

Department of Mathematical Sciences

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

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Abstract

We give a complete K-theoretical description of when an essential 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
Number of pages	21
ISSN	2379-1683
DOIs	https://doi.org/10.2140/akt.2020.5.295
Publication status	Published - 2020

Keywords

extensions
graph C*-algebras
K-theory
fullness
CUNTZ-KRIEGER ALGEBRAS
REAL RANK ZERO
STAR-ALGEBRAS
INDUCTIVE LIMITS
CLASSIFICATION

Access to Document

10.2140/akt.2020.5.295

The extension problem for graph C-algebrasAccepted author manuscript, 302 KBLicence: Unspecified

Cite this

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

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

keywords = "extensions, graph C*-algebras, K-theory, fullness, CUNTZ-KRIEGER ALGEBRAS, REAL RANK ZERO, STAR-ALGEBRAS, INDUCTIVE LIMITS, CLASSIFICATION",

author = "Soren Eilers and James Gabe and Takeshi Katsura and Efren Ruiz and Mark Tomforde",

year = "2020",

doi = "10.2140/akt.2020.5.295",

language = "English",

volume = "5",

pages = "295--315",

journal = "Annals of K-Theory",

issn = "2379-1683",

publisher = "K-Theory Foundation, Inc.",

number = "2",

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T1 - The extension problem for graph C*-algebras

AU - Eilers, Soren

AU - Gabe, James

AU - Katsura, Takeshi

AU - Ruiz, Efren

AU - Tomforde, Mark

PY - 2020

Y1 - 2020

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

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

KW - extensions

KW - graph C-algebras

KW - K-theory

KW - fullness

KW - CUNTZ-KRIEGER ALGEBRAS

KW - REAL RANK ZERO

KW - STAR-ALGEBRAS

KW - INDUCTIVE LIMITS

KW - CLASSIFICATION

U2 - 10.2140/akt.2020.5.295

DO - 10.2140/akt.2020.5.295

M3 - Journal article

VL - 5

SP - 295

EP - 315

JO - Annals of K-Theory

JF - Annals of K-Theory

SN - 2379-1683

IS - 2

ER -