Embedding group algebras into finite von Neumann regular rings

Details Embedding group algebras into finite von Neumann regular rings Embedding group algebras into finite von Neumann regular rings

2007-08-16

arxiv.org/abs/0708.2243v1

Mathematics

Rings and Algebras

5 pages, to appear in the conference proceedings of the "International Conference on Modules and Comodules", dedicated to Robe

Scientific paper

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.

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