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arXiv · 2205.07442

Embedding universality for II$_1$ factors with property (T)

Ionut Chifan·Daniel Drimbe·Adrian Ioana
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Abstract

We prove that every separable tracial von Neumann algebra embeds into a II$_1$ 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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BibTeXRIS

Ionut Chifan, Daniel Drimbe, Adrian Ioana. 2022-05-16. Embedding universality for II$_1$ factors with property (T). https://arxiv.org/abs/2205.07442

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