McDuff superrigidity for group II ₁factors

Juan Felipe Ariza Mejía; Ionuţ Chifan; Denis Osin; Bin Sun

doi:10.48550/arxiv.2511.23123

Back

McDuff superrigidity for group II ₁factors

Preprint

Open access

McDuff superrigidity for group II ₁factors

Juan Felipe Ariza Mejía, Ionuţ Chifan, Denis Osin and Bin Sun

ArXiv.org

Cornell University

11/28/2025

DOI: 10.48550/arxiv.2511.23123

Files and links (1)

url

https://doi.org/10.48550/arxiv.2511.23123View

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

Developing new techniques at the interface of geometric group theory and von Neumann algebras, we identify the first examples of ICC groups 𝐺 whose von Neumann algebras are McDuff and exhibit a new rigidity phenomenon, termed McDuff superrigidity: an arbitrary group 𝐻 satisfying (𝐻 ) ≅ (𝐺) decomposes as 𝐻 ≅ 𝐺 × 𝐴 for an ICC amenable group 𝐴.

Mathematics - Group Theory

Mathematics - Operator Algebras

Details

Title: Subtitle: McDuff superrigidity for group II ₁factors
Creators: Juan Felipe Ariza Mejía
Ionuţ Chifan
Denis Osin
Bin Sun
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2511.23123
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Number of pages: 42 pages
Language: English
Date posted: 11/28/2025
Academic Unit: Mathematics
Record Identifier: 9985088578302771

Metrics

7 Record Views