Stable finiteness of endomorphism rings
Stable finiteness of endomorphism rings
We combine an idea of Benjamin Weiss and some localization theory of Grothendieck categories to give a short and completely self-contained proof of the following recent result of Hanfeng Li and Bingbing Liang: given a left Noetherian ring $R$ and a sofic group $G$, the group-ring $R\[G]$ is stably finite.