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The purpose of this note is to provide a simplified proof of the following result due to Crawley-Boevey, Kropholler and Linnell.
1.Crawley-Boevey, W. W., Kropholler, P. H. and Linnell, P. A., Torsion-free soluble groups, completions and the zero-divisor conjecture, J. Pure Appl. Algebra, to appear.Google Scholar