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

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.

v1: 41 pages v2: a part of this articles has been split off as arxiv:1309.7162, 35 pages v3: minor changes

References in corpus (3)

• Strong classification of extensions of classifiable C*-algebras
• The K-theoretical range of Cuntz-Krieger algebras
• Corners of Cuntz-Krieger algebras

Cited by in corpus (4)

• The K-theoretical range of Cuntz-Krieger algebras
• Strong classification of purely infinite Cuntz-Krieger algebras
• The Ranges of K-theoretic Invariants for Nonsimple Graph Algebras
• The nuclear dimension of graph C*-algebras