Embedding group algebras into finite von Neumann regular rings

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Let G be a group and let K be a field of characteristic zero. We shall prove that KG can be embedded into a von Neumann unit-regular ring. In the course of the proof, we shall obtain a result relevant to the Atiyah conjecture.
5 pages, to appear in the conference proceedings of the "International Conference on Modules and Comodules", dedicated to Robert Wisbauer, to be published by Birkhauser

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