On Graph C*-Algebras with a Linear Ideal Lattice

Søren Eilers; Gunnar Restorff; Efren Ruiz

On Graph C*-Algebras with a Linear Ideal Lattice

Søren Eilers, Gunnar Restorff, Efren Ruiz

Institut for Matematiske Fag

7 Citationer (Scopus)

Abstract

At the cost of restricting the nature of the involved K-groups, we prove a classification result for a hitherto unexplored class of graph C^*-algebras, allowing us to classify all graph C^*-algebras on finitely many vertices with a finite linear ideal lattice if all pair of vertices are connected by infinitely many edges when they are connected at all.

Originalsprog	Engelsk
Tidsskrift	Malaysian Mathematical Society. Bulletin
Vol/bind	33
Udgave nummer	2
Sider (fra-til)	233-241
Antal sider	9
ISSN	0126-6705
Status	Udgivet - 2010

Citationsformater

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title = "On Graph C*-Algebras with a Linear Ideal Lattice",

abstract = "At the cost of restricting the nature of the involved K-groups, we prove a classification result for a hitherto unexplored class of graph C*-algebras, allowing us to classify all graph C*-algebras on finitely many vertices with a finite linear ideal lattice if all pair of vertices are connected by infinitely many edges when they are connected at all.",

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T1 - On Graph C*-Algebras with a Linear Ideal Lattice

AU - Eilers, Søren

AU - Restorff, Gunnar

AU - Ruiz, Efren

PY - 2010

Y1 - 2010

N2 - At the cost of restricting the nature of the involved K-groups, we prove a classification result for a hitherto unexplored class of graph C*-algebras, allowing us to classify all graph C*-algebras on finitely many vertices with a finite linear ideal lattice if all pair of vertices are connected by infinitely many edges when they are connected at all.

AB - At the cost of restricting the nature of the involved K-groups, we prove a classification result for a hitherto unexplored class of graph C*-algebras, allowing us to classify all graph C*-algebras on finitely many vertices with a finite linear ideal lattice if all pair of vertices are connected by infinitely many edges when they are connected at all.

M3 - Journal article

SN - 0126-6705

VL - 33

SP - 233

EP - 241

JO - Malaysian Mathematical Society. Bulletin

JF - Malaysian Mathematical Society. Bulletin

IS - 2

ER -

On Graph C*-Algebras with a Linear Ideal Lattice

Abstract

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Citationsformater