A non-uniformly inner amenable group
Group Theory
2023-12-05 v3 Logic
Operator Algebras
Abstract
We provide an example of two elementarily equivalent countable ICC groups and such that is amenable and is not inner amenable. As a result, we provide the first example of elementarily equivalent groups whose group von Neumann algebras are not elementarily equivalent, answering a question asked by many researchers.
Keywords
Cite
@article{arxiv.2311.15409,
title = {A non-uniformly inner amenable group},
author = {Isaac Goldbring},
journal= {arXiv preprint arXiv:2311.15409},
year = {2023}
}
Comments
8 pages; third version; Question 4.6 in second version answered affirmatively; comments welcome!