Stable finiteness of endomorphism rings
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Publication:6131073
DOI10.4171/ECR/19/12arXiv2205.02532OpenAlexW4389192290MaRDI QIDQ6131073
Publication date: 4 April 2024
Published in: Representations of Algebras and Related Structures (Search for Journal in Brave)
Abstract: We combine a combinatorial 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.
Full work available at URL: https://arxiv.org/abs/2205.02532
Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Abelian categories, Grothendieck categories (18E10) General module theory in associative algebras (16D10) Localization of categories, calculus of fractions (18E35)
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