Preprint
W∗-correlations of II1 factors and rigidity of tensor products and graph products
ArXiV.org
Cornell University
07/07/2025
DOI: 10.48550/arxiv.2507.04691
Abstract
A variant of Gromov's notion of measure equivalence for groups has been introduced for II factors under different names. We propose the terminology of W*-correlated II factors. We prove rigidity results up to W*-correlations for tensor products and graph products of II factors. As a consequence, we construct the first uncountable family of discrete groups that are not von Neumann equivalent, which means that their group von Neumann algebras are not W*-correlated, and which implies that these groups are neither measure equivalent, nor have isomorphic or virtually isomorphic group von Neumann algebras.
Details
- Title: Subtitle
- W∗-correlations of II1 factors and rigidity of tensor products and graph products
- Creators
- Daniel DrimbeStefaan Vaes
- Resource Type
- Preprint
- Publication Details
- ArXiV.org
- DOI
- 10.48550/arxiv.2507.04691
- ISSN
- 2331-8422
- Publisher
- Cornell University; Ithaca, New York
- Language
- English
- Date posted
- 07/07/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984847248702771
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