Filtrated K-theory for real rank zero C*-algebras

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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

Arklint, SE, Restorff, G & Ruiz, E 2012, 'Filtrated K-theory for real rank zero C*-algebras', International Journal of Mathematics, bind 23, nr. 8, 1250078. https://doi.org/10.1142/S0129167X12500784

APA

Arklint, S. E., Restorff, G., & Ruiz, E. (2012). Filtrated K-theory for real rank zero C*-algebras. International Journal of Mathematics, 23(8), [1250078]. https://doi.org/10.1142/S0129167X12500784

Vancouver

Arklint SE, Restorff G, Ruiz E. Filtrated K-theory for real rank zero C*-algebras. International Journal of Mathematics. 2012 jun. 13;23(8). 1250078. https://doi.org/10.1142/S0129167X12500784

Author

Arklint, Sara Esther ; Restorff, Gunnar ; Ruiz, Efren. / Filtrated K-theory for real rank zero C*-algebras. I: International Journal of Mathematics. 2012 ; Bind 23, Nr. 8.

Bibtex

@article{22893f5110214bad9e199c2416296204,
title = "Filtrated K-theory for real rank zero C*-algebras",
abstract = "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.",
author = "Arklint, {Sara Esther} and Gunnar Restorff and Efren Ruiz",
year = "2012",
month = jun,
day = "13",
doi = "10.1142/S0129167X12500784",
language = "English",
volume = "23",
journal = "International Journal of Mathematics",
issn = "0129-167X",
publisher = "World Scientific Publishing Co. Pte. Ltd.",
number = "8",

}

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