The range of the Elliott invariant of the simple \(AH\)-algebras with slow dimension growth
type: Item
instance of: scholarly article
title: The range of the Elliott invariant of the simple \(AH\)-algebras with slow dimension growth
zbMATH Open document ID: 0916.19003
DOI: 10.1023/A:1007789028440
author: Jesper Villadsen
published in: \(K\)-Theory
publication date: 1999-07-19T00:00:00Z
review text: The Elliott invariant consists of the ordered \(K_*\)-group and the space of tracial states together with a pairing between them. It is known that in the classification problem for some classes of \(C^*\)-algebras this invariant is complete. In particular it has been announced by \textit{G. Gong} that the Elliott invariant is complete for simple unital \(C^*\)-algebras which arise as limits of sequences of homogeneous \(C^*\)-algebras (\(AH\)-algebras) with slow dimension growth. In this paper the range of the Elliott invariant for this class of simple \(AH\)-algebras is determined.
Mathematics Subject Classification ID: 19K14
Mathematics Subject Classification ID: 46L35
zbMATH DE Number: 1236092
zbMATH Keywords: simple \(C^*\)-algebras
zbMATH Keywords: operator \(K\)-theory
zbMATH Keywords: tracial states
zbMATH Keywords: Elliott invariant
reviewed by: V. M. Deundjak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1236092