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arXiv · 1301.7223

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

Sara Arklint·Rasmus Bentmann·Takeshi Katsura
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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.

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Sara Arklint, Rasmus Bentmann, Takeshi Katsura. 2013-11-04. Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras. https://arxiv.org/abs/1301.7223

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