Sofic groups and direct finiteness

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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.
9 pages, a shortened proof of the main result

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Rings and Algebras, 16A30

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http://salesiana.dossiersoluciones.com/handle/123456789/67626

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305440
 http://arxiv.org/abs/math/0305440

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arXiv