Non-splitting in Kirchberg's Ideal-related KK-Theory

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Standard

Non-splitting in Kirchberg's Ideal-related KK-Theory. / Eilers, Søren; Restorff, Gunnar; Ruiz, Efren.

I: Canadian Mathematical Bulletin, Bind 54, 2011, s. 68-81.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Eilers, S, Restorff, G & Ruiz, E 2011, 'Non-splitting in Kirchberg's Ideal-related KK-Theory', Canadian Mathematical Bulletin, bind 54, s. 68-81. https://doi.org/10.4153/CMB-2010-083-7

APA

Eilers, S., Restorff, G., & Ruiz, E. (2011). Non-splitting in Kirchberg's Ideal-related KK-Theory. Canadian Mathematical Bulletin, 54, 68-81. https://doi.org/10.4153/CMB-2010-083-7

Vancouver

Eilers S, Restorff G, Ruiz E. Non-splitting in Kirchberg's Ideal-related KK-Theory. Canadian Mathematical Bulletin. 2011;54:68-81. https://doi.org/10.4153/CMB-2010-083-7

Author

Eilers, Søren ; Restorff, Gunnar ; Ruiz, Efren. / Non-splitting in Kirchberg's Ideal-related KK-Theory. I: Canadian Mathematical Bulletin. 2011 ; Bind 54. s. 68-81.

Bibtex

@article{e13a09a9eff1430abd9aec3cd80df060,
title = "Non-splitting in Kirchberg's Ideal-related KK-Theory",
abstract = "A. Bonkat obtained a universal coefficient theorem in the setting of Kirchberg's ideal-related KK-theory in the fundamental case of a C*-algebra with one specified ideal. The universal coefficient sequence was shown to split, unnaturally, under certain conditions. Employing certain K-theoretical information derivable from the given operator algebras using a method introduced here, we shall demonstrate that Bonkat's UCT does not split in general. Related methods lead to information on the complexity of the K-theory which must be used to classify *-isomorphisms for purely infinite C*-algebras with one non-trivial ideal.",
author = "S{\o}ren Eilers and Gunnar Restorff and Efren Ruiz",
year = "2011",
doi = "10.4153/CMB-2010-083-7",
language = "English",
volume = "54",
pages = "68--81",
journal = "Canadian Mathematical Bulletin",
issn = "0008-4395",
publisher = "Canadian Mathematical Society",

}

RIS

TY - JOUR

T1 - Non-splitting in Kirchberg's Ideal-related KK-Theory

AU - Eilers, Søren

AU - Restorff, Gunnar

AU - Ruiz, Efren

PY - 2011

Y1 - 2011

N2 - A. Bonkat obtained a universal coefficient theorem in the setting of Kirchberg's ideal-related KK-theory in the fundamental case of a C*-algebra with one specified ideal. The universal coefficient sequence was shown to split, unnaturally, under certain conditions. Employing certain K-theoretical information derivable from the given operator algebras using a method introduced here, we shall demonstrate that Bonkat's UCT does not split in general. Related methods lead to information on the complexity of the K-theory which must be used to classify *-isomorphisms for purely infinite C*-algebras with one non-trivial ideal.

AB - A. Bonkat obtained a universal coefficient theorem in the setting of Kirchberg's ideal-related KK-theory in the fundamental case of a C*-algebra with one specified ideal. The universal coefficient sequence was shown to split, unnaturally, under certain conditions. Employing certain K-theoretical information derivable from the given operator algebras using a method introduced here, we shall demonstrate that Bonkat's UCT does not split in general. Related methods lead to information on the complexity of the K-theory which must be used to classify *-isomorphisms for purely infinite C*-algebras with one non-trivial ideal.

U2 - 10.4153/CMB-2010-083-7

DO - 10.4153/CMB-2010-083-7

M3 - Journal article

VL - 54

SP - 68

EP - 81

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

SN - 0008-4395

ER -

ID: 32472050