McDuff superrigidity for group II$_1$ factors
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917111536812032 |
|---|---|
| author | Mejía, Juan Felipe Ariza Chifan, Ionuţ Osin, Denis Sun, Bin |
| author_facet | Mejía, Juan Felipe Ariza Chifan, Ionuţ Osin, Denis Sun, Bin |
| contents | 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 $\mathcal{L}(H)\cong \mathcal{L}(G)$ decomposes as $H \cong G\times A$ for an ICC amenable group $A$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | McDuff superrigidity for group II$_1$ factors Mejía, Juan Felipe Ariza Chifan, Ionuţ Osin, Denis Sun, Bin Operator Algebras Group Theory 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 $\mathcal{L}(H)\cong \mathcal{L}(G)$ decomposes as $H \cong G\times A$ for an ICC amenable group $A$. |
| title | McDuff superrigidity for group II$_1$ factors |
| topic | Operator Algebras Group Theory |
| url | https://arxiv.org/abs/2511.23123 |