Modules and Comodules

Part of the series Trends in Mathematics pp 295-300

Embedding Group Algebras into Finite von Neumann Regular Rings

  • Peter A. LinnellAffiliated withDepartment of Mathematics, Virginia Tech

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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.


Group von Neumann algebra ultrafilter