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

Sara E. Arklint, Rasmus Bentmann, Takeshi Katsura

研究成果: Article査読

6 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)570-613
ページ数44
ジャーナルJournal of K-Theory
14
3
DOI
出版ステータスPublished - 2014 7 8

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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