Wreath-like products of groups and their von Neumann algebras III: Embeddings

Ionut Chifan; Adrian Ioana; Denis Osin; Bin Sun

doi:10.48550/arxiv.2402.19461

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Wreath-like products of groups and their von Neumann algebras III: Embeddings

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Wreath-like products of groups and their von Neumann algebras III: Embeddings

Ionut Chifan, Adrian Ioana, Denis Osin and Bin Sun

arXiv.org

Cornell University

02/29/2024

DOI: 10.48550/arxiv.2402.19461

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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

Abstract

For a class of wreath-like product groups with property (T), we describe explicitly all the embeddings between their von Neumann algebras. This allows us to provide a continuum of ICC groups with property (T) whose von Neumann algebras are pairwise non (stably) embeddable. We also give a construction of groups in this class only having inner injective homomorphisms. As an application, we obtain examples of group von Neumann algebras which admit only inner endomorphisms.

Mathematics - Group Theory

Mathematics - Operator Algebras

Details

Title: Subtitle: Wreath-like products of groups and their von Neumann algebras III: Embeddings
Creators: Ionut Chifan
Adrian Ioana
Denis Osin
Bin Sun
Resource Type: Preprint
Publication Details: arXiv.org
DOI: 10.48550/arxiv.2402.19461
eISSN: 2331-8422
Publisher: Cornell University
Language: English
Date posted: 02/29/2024
Academic Unit: Mathematics
Record Identifier: 9984563454002771

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