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Sbornik: Mathematics, 1997, Volume 188, Issue 10, Pages 1543–1560
DOI: https://doi.org/10.1070/sm1997v188n10ABEH000267 (Mi sm267) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Approximately finite-dimensional $C^*$-algebras with projective Hilbert modules, their Bratteli diagrams, and $K_0$-groups

A. Ya. Helemskii

M. V. Lomonosov Moscow State University
English version PDF (264 kB) Citations (2)
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DOI: https://doi.org/10.1070/sm1997v188n10ABEH000267
Abstract: This paper is devoted to the homological classification of approximately finite-dimensional $C^*$-algebras. The algebras in this class for which there exists at least one non-trivial Hilbert module and those for which there exists at least one faithful Hilbert module are described. The description is given in terms of the Bratteli diagrams of the algebras in question and in terms of the ordered $K_0$-groups of these algebras.
Received: 01.10.1996
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 10, Pages 131–148
DOI: https://doi.org/10.4213/sm267
Bibliographic databases:
UDC: 512.553.7+512.556
MSC: Primary 46L45, 46L80, 42A60; Secondary 46L35, 18G05
Language: English
Original paper language: Russian
Citation: A. Ya. Helemskii, “Approximately finite-dimensional $C^*$-algebras with projective Hilbert modules, their Bratteli diagrams, and $K_0$-groups”, Mat. Sb., 188:10 (1997), 131–148; Sb. Math., 188:10 (1997), 1543–1560
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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