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

Author:

Arklint Sara E.,Bentmann Rasmus,Katsura Takeshi

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Geometry and Topology,Algebra and Number Theory

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