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math.GR2003
On sofic groups
G. Elek, E. Szabo
Answering some queries of Weiss, we prove that the free product and amenable extensions of sofic groups are sofic as well, and give an example of a finitely generated sofic group t…
math.RA2003
Sofic groups and direct finiteness
G. Elek, E. Szabo
We construct an analogue of Neumann's affiliated algebras for sofic group algebras over arbitrary fields. Consequently, we settle Kaplansky's direct finiteness conjecture for sofic…