The K-theoretical range of Cuntz-Krieger algebras

Sara E. Arklint, Rasmus Bentmann, Takeshi Katsura

Research output: Contribution to journalArticle

8 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 languageEnglish
Pages (from-to)5448-5466
Number of pages19
JournalJournal of Functional Analysis
Volume266
Issue number8
DOIs
Publication statusPublished - 2014 Apr 15

Fingerprint

Cuntz-Krieger Algebra
Graph C*-algebra
Infinite Graphs
Unital
Range of data
Invariant

Keywords

  • Classification
  • Cuntz-Krieger algebras
  • Filtered K-theory

ASJC Scopus subject areas

  • Analysis

Cite this

The K-theoretical range of Cuntz-Krieger algebras. / Arklint, Sara E.; Bentmann, Rasmus; Katsura, Takeshi.

In: Journal of Functional Analysis, Vol. 266, No. 8, 15.04.2014, p. 5448-5466.

Research output: Contribution to journalArticle

Arklint, Sara E. ; Bentmann, Rasmus ; Katsura, Takeshi. / The K-theoretical range of Cuntz-Krieger algebras. In: Journal of Functional Analysis. 2014 ; Vol. 266, No. 8. pp. 5448-5466.
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