Stable finiteness does not imply linear soficity

DOI10.1017/s0305004123000154arXiv2210.11650OpenAlexW4364365494MaRDI QIDQ6116302

Be'eri Greenfeld

Publication date: 11 August 2023

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.11650

Mathematics Subject Classification ID

Group rings (16S34) (T)-ideals, identities, varieties of associative rings and algebras (16R10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Cites Work

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• Sofic groups and direct finiteness.
• Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property
• Affine PI-algebras not embeddable in matrix rings
• An example of a simple radical ring
• Linear sofic groups and algebras
• Hyperlinear and Sofic Groups: A Brief Guide
• Left and right inverses in group algebras
• Rings with a polynomial identity
• Inverses and Zero Divisors in Matrix Rings

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