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Embedding universality for II1 factors with property (T)
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Embedding universality for II1 factors with property (T)

Ionut Chifan, Daniel Drimbe and Adrian Ioana
ArXiv.org
Cornell University
05/16/2022
DOI: 10.48550/arXiv.2205.07442
url
https://doi.org/10.1016/j.aim.2023.108934View
Published (Version of record)This article has now been published in a journal and has been peer-reviewed by subject experts. This version may differ significantly from the preprint version. Access restricted to faculty, staff and students
url
https://doi.org/10.48550/arXiv.2205.07442View
Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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Abstract

We prove that every separable tracial von Neumann algebra embeds into a II1 factor with property (T) which can be taken to have trivial outer automorphism and fundamental groups. We also establish an analogous result for the trivial extension over a non-atomic probability space of every countable p.m.p. equivalence relation. These results are obtained by using the class of wreath-like product groups introduced recently in \cite{CIOS21}.

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