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

Department of Mathematical Sciences

7 Citations (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.

Original language	English
Journal	Malaysian Mathematical Society. Bulletin
Volume	33
Issue number	2
Pages (from-to)	233-241
Number of pages	9
ISSN	0126-6705
Publication status	Published - 2010

Cite this

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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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AU - Eilers, Søren

AU - Restorff, Gunnar

AU - Ruiz, Efren

PY - 2010

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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 - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 2

ER -

On Graph C*-Algebras with a Linear Ideal Lattice

Abstract

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