Reduction of filtered k-theory and a characterization of Cuntz-Krieger algebras
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Reduction of filtered k-theory and a characterization of Cuntz-Krieger algebras. / Arklint, Sara E.; Bentmann, Rasmus Moritz; Katsura, Takeshi.
I: Journal of K-Theory, Bind 14, Nr. 3, 2014, s. 570-613.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Reduction of filtered k-theory and a characterization of Cuntz-Krieger algebras
AU - Arklint, Sara E.
AU - Bentmann, Rasmus Moritz
AU - Katsura, Takeshi
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
U2 - 10.1017/is014009013jkt281
DO - 10.1017/is014009013jkt281
M3 - Journal article
VL - 14
SP - 570
EP - 613
JO - Journal of K-Theory
JF - Journal of K-Theory
SN - 1865-2433
IS - 3
ER -
ID: 138510642