English

Embedding group algebras into finite von Neumann regular rings

Rings and Algebras 2007-08-17 v1 Group Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0708.2243,
  title  = {Embedding group algebras into finite von Neumann regular rings},
  author = {Peter A. Linnell},
  journal= {arXiv preprint arXiv:0708.2243},
  year   = {2007}
}

Comments

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

R2 v1 2026-06-21T09:08:04.055Z