Sofic groups and direct finiteness

Details Sofic groups and direct finiteness Sofic groups and direct finiteness

2003-05-30

arxiv.org/abs/math/0305440v2

Mathematics

Rings and Algebras

9 pages, a shortened proof of the main result

Scientific paper

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 groups.

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