The K-theoretical range of Cuntz-Krieger algebras

Sara E. Arklint; Rasmus Bentmann; Takeshi Katsura

doi:10.1016/j.jfa.2014.01.020

The K-theoretical range of Cuntz-Krieger algebras

Sara E. Arklint, Rasmus Bentmann, Takeshi Katsura

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We augment Restorff's classification of purely infinite Cuntz-Krieger algebras by describing the range of his invariant on purely infinite Cuntz-Krieger algebras. We also describe its range on purely infinite graph C^*-algebras with finitely many ideals, and provide 'unital' range results for purely infinite Cuntz-Krieger algebras and unital purely infinite graph C^*-algebras.

Original language	English
Pages (from-to)	5448-5466
Number of pages	19
Journal	Journal of Functional Analysis
Volume	266
Issue number	8
DOIs	https://doi.org/10.1016/j.jfa.2014.01.020
Publication status	Published - 2014 Apr 15

Keywords

Classification
Cuntz-Krieger algebras
Filtered K-theory

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2014.01.020

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title = "The K-theoretical range of Cuntz-Krieger algebras",

abstract = "We augment Restorff's classification of purely infinite Cuntz-Krieger algebras by describing the range of his invariant on purely infinite Cuntz-Krieger algebras. We also describe its range on purely infinite graph C*-algebras with finitely many ideals, and provide 'unital' range results for purely infinite Cuntz-Krieger algebras and unital purely infinite graph C*-algebras.",

keywords = "Classification, Cuntz-Krieger algebras, Filtered K-theory",

author = "Arklint, {Sara E.} and Rasmus Bentmann and Takeshi Katsura",

note = "Funding Information: This research was supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation ( DNRF92 ). The third-named author was partially supported by the Japan Society for the Promotion of Science . ",

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T1 - The K-theoretical range of Cuntz-Krieger algebras

AU - Arklint, Sara E.

AU - Bentmann, Rasmus

AU - Katsura, Takeshi

N1 - Funding Information: This research was supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation ( DNRF92 ). The third-named author was partially supported by the Japan Society for the Promotion of Science .

PY - 2014/4/15

Y1 - 2014/4/15

N2 - We augment Restorff's classification of purely infinite Cuntz-Krieger algebras by describing the range of his invariant on purely infinite Cuntz-Krieger algebras. We also describe its range on purely infinite graph C*-algebras with finitely many ideals, and provide 'unital' range results for purely infinite Cuntz-Krieger algebras and unital purely infinite graph C*-algebras.

AB - We augment Restorff's classification of purely infinite Cuntz-Krieger algebras by describing the range of his invariant on purely infinite Cuntz-Krieger algebras. We also describe its range on purely infinite graph C*-algebras with finitely many ideals, and provide 'unital' range results for purely infinite Cuntz-Krieger algebras and unital purely infinite graph C*-algebras.

KW - Classification

KW - Cuntz-Krieger algebras

KW - Filtered K-theory

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EP - 5466

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 8

ER -

The K-theoretical range of Cuntz-Krieger algebras

Abstract

Keywords

ASJC Scopus subject areas

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