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arxiv: 0708.2243 · v1 · submitted 2007-08-16 · 🧮 math.RA · math.GR

Embedding group algebras into finite von Neumann regular rings

classification 🧮 math.RA math.GR
keywords groupneumannshallalgebrasatiyahcharacteristicconjecturecourse
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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.

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