Compressing coefficients while preserving ideals in K-theory for C*-algebras
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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
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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
UR - http://www.scopus.com/inward/record.url?scp=0039736297&partnerID=8YFLogxK
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