A non-uniformly inner amenable group

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A non-uniformly inner amenable group

Goldbring, Isaac

Journal of algebra, 09/2024, Volume: 653

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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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