Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras

Sara E. Arklint, Rasmus Bentmann, Takeshi Katsura

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We show that filtered K-theory is equivalent to a substantially smaller invariant for all real-rank-zero C∗-algebras with certain primitive ideal spaces - including the infinitely many so-called accordion spaces for which filtered K-theory is known to be a complete invariant. As a consequence, we give a characterization of purely infinite Cuntz-Krieger algebras whose primitive ideal space is an accordion space.

Original languageEnglish
Pages (from-to)570-613
Number of pages44
JournalJournal of K-Theory
Volume14
Issue number3
DOIs
Publication statusPublished - 2014 Jul 8

Fingerprint

Cuntz-Krieger Algebra
K-theory
Primitive Ideal
Real Rank Zero
Invariant
C*-algebra

Keywords

  • classification
  • C∗-algebras
  • filtered K-theory
  • graph C∗-algebras
  • real rank zero

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras. / Arklint, Sara E.; Bentmann, Rasmus; Katsura, Takeshi.

In: Journal of K-Theory, Vol. 14, No. 3, 08.07.2014, p. 570-613.

Research output: Contribution to journalArticle

Arklint, Sara E. ; Bentmann, Rasmus ; Katsura, Takeshi. / Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras. In: Journal of K-Theory. 2014 ; Vol. 14, No. 3. pp. 570-613.
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