Compressing coefficients while preserving ideals in K-theory for C*-algebras
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
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Tidsskrift | K-Theory |
Vol/bind | 14 |
Udgave nummer | 3 |
Sider (fra-til) | 281-304 |
Antal sider | 24 |
ISSN | 0920-3036 |
DOI | |
Status | Udgivet - 1 jan. 1998 |
ID: 233961272