Classification of \(C^*\)-algebras of real rank zero and unsuspended \(E\)-equivalence types
type: Item
instance of: scholarly article
title: Classification of \(C^*\)-algebras of real rank zero and unsuspended \(E\)-equivalence types
zbMATH Open document ID: 0921.46058
published in: Journal of Functional Analysis
publication date: 1999-09-17T00:00:00Z
review text: In [Ann. Math., II. Ser. 144, No. 3, 497-610 (1996; Zbl 0867.46041)], the author and \textit{G. A. Elliott} proved that ordered scaled K-groups provide a complete invariant for the simple members of a certain class of inductive limit \(C^*\)-algebras. The present paper exhibits an example to show that these invariants no longer suffice when the simplicity restriction is lifted. An additional invariant is introduced to fill the gap. Classification of amenable \(C^*\)-algebras was surveyed by \textit{G. A. Elliott} in [Proceedings of the international congress of mathematicians, ICM '94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser, 922-932 (1995)].
Mathematics Subject Classification ID: 46L35
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 1130449
zbMATH Keywords: nuclear
zbMATH Keywords: graded scaled ordered \(K\)-group
zbMATH Keywords: inductive limit \(C^*\)-algebras
zbMATH Keywords: classification of amenable \(C^*\)-algebras
author: Guihua Gong
reviewed by: Edward A. Azoff
MaRDI profile type: Publication
full work available at URL: jfan.1997.3165
OpenAlex ID: W2001091064
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DOI: 10.1006/JFAN.1997.3165
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description: scientific article; zbMATH DE number 1130449