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Article contents
Stable finiteness does not imply linear soficity
Part of:
Topological algebras, normed rings and algebras, Banach algebras
Homological methods
Methods of category theory in functional analysis
Published online by Cambridge University Press: 11 April 2023
Abstract
We prove that there exist finitely generated, stably finite algebras which are not linear sofic. This was left open by Arzhantseva and Păunescu in 2017.
MSC classification
Primary:
46M07: Ultraproducts
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 175 , Issue 2 , September 2023 , pp. 319 - 325
- Copyright
- © The Author(s), 2023. Published by Cambridge University Press on behalf of Cambridge Philosophical Society
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