Open Access
Fall 2002 On finite approximations of groups and algebras
Miloš Ziman
Illinois J. Math. 46(3): 837-839 (Fall 2002). DOI: 10.1215/ijm/1258130987

Abstract

The notions of an LEF group and of an LEF algebra, introduced by Gordon and Vershik in \cite{GV}, have been formulated in terms of local embeddability into finite groups or finite dimensional algebras, respectively. We will prove that the group algebra $\mC G$ of a group $G$ is LEF if and only if $G$ is. This solves a question raised in \cite{GV}.

Citation

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Miloš Ziman. "On finite approximations of groups and algebras." Illinois J. Math. 46 (3) 837 - 839, Fall 2002. https://doi.org/10.1215/ijm/1258130987

Information

Published: Fall 2002
First available in Project Euclid: 13 November 2009

zbMATH: 1025.20001
MathSciNet: MR1951243
Digital Object Identifier: 10.1215/ijm/1258130987

Subjects:
Primary: 20C07

Rights: Copyright © 2002 University of Illinois at Urbana-Champaign

Vol.46 • No. 3 • Fall 2002
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