On certain properties of Cuntz-Krieger-type algebras

Bernhard Burgstaller; D. Gwion Evans

doi:10.1215/20088752-2017-0004

On certain properties of Cuntz-Krieger-type algebras

Bernhard Burgstaller, D. Gwion Evans

Adran Mathemateg

Westfälische Wilhelms-Universität Münster

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

182 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

The note presents a further study of the class of Cuntz–Krieger-type algebras. A necessary and sufficient condition is identified that ensures that the algebra is purely infinite, the ideal structure is studied, and nuclearity is proved by presenting the algebra as a crossed product of an AF-algebra by an abelian group. The results are applied to examples of Cuntz–Krieger-type algebras such as higher rank semigraph C*-algebras and higher rank Exel–Laca algebras.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	386-397
Nifer y tudalennau	12
Cyfnodolyn	Annals of Functional Analysis
Cyfrol	8
Rhif cyhoeddi	3
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1215/20088752-2017-0004
Statws	Cyhoeddwyd - 09 Mai 2017

Mynediad at Ddogfen

10.1215/20088752-2017-0004

On certain properties of Cuntz-Krieger-type algebrasLlawysgrif awdur wedi’i dderbyn, 128 KBTrwydded: CC BY-NC

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

http://hdl.handle.net/2160/45160

Gwion Evans
- dfeaber.acuk
- Adran Mathemateg - Lecturer, Head of Department (Maths)
Unigolyn: Dysgu ac Ymchwil

Dyfynnu hyn

@article{a470be75546d46a296c8a75b9b557b5a,

title = "On certain properties of Cuntz-Krieger-type algebras",

abstract = "The note presents a further study of the class of Cuntz–Krieger-type algebras. A necessary and sufficient condition is identified that ensures that the algebra is purely infinite, the ideal structure is studied, and nuclearity is proved by presenting the algebra as a crossed product of an AF-algebra by an abelian group. The results are applied to examples of Cuntz–Krieger-type algebras such as higher rank semigraph C*-algebras and higher rank Exel–Laca algebras.",

author = "Bernhard Burgstaller and Evans, {D. Gwion}",

year = "2017",

month = may,

day = "9",

doi = "10.1215/20088752-2017-0004",

language = "English",

volume = "8",

pages = "386--397",

journal = "Annals of Functional Analysis",

issn = "2008-8752",

publisher = "Duke University Press",

number = "3",

}

TY - JOUR

T1 - On certain properties of Cuntz-Krieger-type algebras

AU - Burgstaller, Bernhard

AU - Evans, D. Gwion

PY - 2017/5/9

Y1 - 2017/5/9

N2 - The note presents a further study of the class of Cuntz–Krieger-type algebras. A necessary and sufficient condition is identified that ensures that the algebra is purely infinite, the ideal structure is studied, and nuclearity is proved by presenting the algebra as a crossed product of an AF-algebra by an abelian group. The results are applied to examples of Cuntz–Krieger-type algebras such as higher rank semigraph C*-algebras and higher rank Exel–Laca algebras.

AB - The note presents a further study of the class of Cuntz–Krieger-type algebras. A necessary and sufficient condition is identified that ensures that the algebra is purely infinite, the ideal structure is studied, and nuclearity is proved by presenting the algebra as a crossed product of an AF-algebra by an abelian group. The results are applied to examples of Cuntz–Krieger-type algebras such as higher rank semigraph C*-algebras and higher rank Exel–Laca algebras.

UR - http://hdl.handle.net/2160/45160

U2 - 10.1215/20088752-2017-0004

DO - 10.1215/20088752-2017-0004

M3 - Article

SN - 2008-8752

VL - 8

SP - 386

EP - 397

JO - Annals of Functional Analysis

JF - Annals of Functional Analysis

IS - 3

ER -

On certain properties of Cuntz-Krieger-type algebras

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ffeiliau eraill a chysylltiadau

Ôl bys

Proffiliau

Gwion Evans

Dyfynnu hyn