A non-uniformly inner amenable group
arxiv(2023)
摘要
We provide an example of two elementarily equivalent countable ICC groups $G$
and $H$ such that $G$ is amenable and $H$ 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.
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