Filtrated K-theory for real rank zero C*-algebras
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Filtrated K-theory for real rank zero C*-algebras. / Arklint, Sara Esther; Restorff, Gunnar; Ruiz, Efren.
I: International Journal of Mathematics, Bind 23, Nr. 8, 1250078, 13.06.2012.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Filtrated K-theory for real rank zero C*-algebras
AU - Arklint, Sara Esther
AU - Restorff, Gunnar
AU - Ruiz, Efren
PY - 2012/6/13
Y1 - 2012/6/13
N2 - The smallest primitive ideal spaces for which there exist counterexamples to the classification of non-simple, purely infinite, nuclear, separable C*-algebras using filtrated K-theory, are four-point spaces. In this article, we therefore restrict to real rank zero C*-algebras with four-point primitive ideal spaces. Up to homeomorphism, there are ten different connected T0-spaces with exactly four points. We show that filtrated K-theory classifies real rank zero, tight, stable, purely infinite, nuclear, separable C*-algebras that satisfy that all simple subquotients are in the bootstrap class for eight out of ten of these spaces.
AB - The smallest primitive ideal spaces for which there exist counterexamples to the classification of non-simple, purely infinite, nuclear, separable C*-algebras using filtrated K-theory, are four-point spaces. In this article, we therefore restrict to real rank zero C*-algebras with four-point primitive ideal spaces. Up to homeomorphism, there are ten different connected T0-spaces with exactly four points. We show that filtrated K-theory classifies real rank zero, tight, stable, purely infinite, nuclear, separable C*-algebras that satisfy that all simple subquotients are in the bootstrap class for eight out of ten of these spaces.
U2 - 10.1142/S0129167X12500784
DO - 10.1142/S0129167X12500784
M3 - Journal article
VL - 23
JO - International Journal of Mathematics
JF - International Journal of Mathematics
SN - 0129-167X
IS - 8
M1 - 1250078
ER -
ID: 40596484