Compressing coefficients while preserving ideals in K-theory for C*-algebras

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Standard

Compressing coefficients while preserving ideals in K-theory for C*-algebras. / Dǎdǎrlat, Marius; Eilers, Søren.

I: K-Theory, Bind 14, Nr. 3, 01.01.1998, s. 281-304.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Dǎdǎrlat, M & Eilers, S 1998, 'Compressing coefficients while preserving ideals in K-theory for C*-algebras', K-Theory, bind 14, nr. 3, s. 281-304. https://doi.org/10.1023/A:1007744626135

APA

Dǎdǎrlat, M., & Eilers, S. (1998). Compressing coefficients while preserving ideals in K-theory for C*-algebras. K-Theory, 14(3), 281-304. https://doi.org/10.1023/A:1007744626135

Vancouver

Dǎdǎrlat M, Eilers S. Compressing coefficients while preserving ideals in K-theory for C*-algebras. K-Theory. 1998 jan. 1;14(3):281-304. https://doi.org/10.1023/A:1007744626135

Author

Dǎdǎrlat, Marius ; Eilers, Søren. / Compressing coefficients while preserving ideals in K-theory for C*-algebras. I: K-Theory. 1998 ; Bind 14, Nr. 3. s. 281-304.

Bibtex

@article{ed03bca81f2d4690b77a089be41207e9,
title = "Compressing coefficients while preserving ideals in K-theory for C*-algebras",
abstract = "An invariant based on ordered K-theory with coefficients in ℤ ⊕ ⊕n1 ℤ/n and an infinite number of natural transformations has proved to be necessary and sufficient to classify a large class of nonsimple C*-algebras. In this paper, we expose and explain the relations between the order structure and the ideals of the C*-algebras in question. As an application, we give a new complete invariant for a large class of approximately subhomogeneous C*-algebras. The invariant is based on ordered K-theory with coefficients in ℤ⊕ ℚ⊕ (ℚ/ℤ. This invariant is more compact (hence, easier to compute) than the invariant mentioned above, and its use requires computation of only four natural transformations.",
keywords = "Approximately subhomogeneous, C*-algebras, Classification, Ideals, Real rank zero, Torsion coefficients",
author = "Marius Dǎdǎrlat and S{\o}ren Eilers",
year = "1998",
month = jan,
day = "1",
doi = "10.1023/A:1007744626135",
language = "English",
volume = "14",
pages = "281--304",
journal = "K - Theory",
issn = "0920-3036",
publisher = "Springer",
number = "3",

}

RIS

TY - JOUR

T1 - Compressing coefficients while preserving ideals in K-theory for C*-algebras

AU - Dǎdǎrlat, Marius

AU - Eilers, Søren

PY - 1998/1/1

Y1 - 1998/1/1

N2 - An invariant based on ordered K-theory with coefficients in ℤ ⊕ ⊕n1 ℤ/n and an infinite number of natural transformations has proved to be necessary and sufficient to classify a large class of nonsimple C*-algebras. In this paper, we expose and explain the relations between the order structure and the ideals of the C*-algebras in question. As an application, we give a new complete invariant for a large class of approximately subhomogeneous C*-algebras. The invariant is based on ordered K-theory with coefficients in ℤ⊕ ℚ⊕ (ℚ/ℤ. This invariant is more compact (hence, easier to compute) than the invariant mentioned above, and its use requires computation of only four natural transformations.

AB - An invariant based on ordered K-theory with coefficients in ℤ ⊕ ⊕n1 ℤ/n and an infinite number of natural transformations has proved to be necessary and sufficient to classify a large class of nonsimple C*-algebras. In this paper, we expose and explain the relations between the order structure and the ideals of the C*-algebras in question. As an application, we give a new complete invariant for a large class of approximately subhomogeneous C*-algebras. The invariant is based on ordered K-theory with coefficients in ℤ⊕ ℚ⊕ (ℚ/ℤ. This invariant is more compact (hence, easier to compute) than the invariant mentioned above, and its use requires computation of only four natural transformations.

KW - Approximately subhomogeneous

KW - C-algebras

KW - Classification

KW - Ideals

KW - Real rank zero

KW - Torsion coefficients

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U2 - 10.1023/A:1007744626135

DO - 10.1023/A:1007744626135

M3 - Journal article

AN - SCOPUS:0039736297

VL - 14

SP - 281

EP - 304

JO - K - Theory

JF - K - Theory

SN - 0920-3036

IS - 3

ER -

ID: 233961272