Sofic groups and direct finiteness
环与代数
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0305440,
title = {Sofic groups and direct finiteness},
author = {G. Elek and E. Szabo},
journal= {arXiv preprint arXiv:math/0305440},
year = {2007}
}
备注
9 pages, a shortened proof of the main result