The noncommutative factor theorem for lattices in product groups
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BOUTONNET, Rémi | |
| dc.contributor.author | HOUDAYER, Cyril | |
| dc.date.accessioned | 2024-04-04T02:39:11Z | |
| dc.date.available | 2024-04-04T02:39:11Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190948 | |
| dc.description.abstractEn | We prove a noncommutative Bader-Shalom factor theorem for lattices with dense projections in product groups. As an application of this result and our previous works, we obtain a noncommutative Margulis factor theorem for all irreducible lattices $\Gamma < G$ in higher rank semisimple algebraic groups. Namely, we give a complete description of all intermediate von Neumann subalgebras $\operatorname{L}(\Gamma) \subset M \subset \operatorname{L}(\Gamma \curvearrowright G/P)$ sitting between the group von Neumann algebra and the group measure space von Neumann algebra associated with the action on the Furstenberg-Poisson boundary. | |
| dc.language.iso | en | |
| dc.title.en | The noncommutative factor theorem for lattices in product groups | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Théorie des groupes [math.GR] | |
| dc.subject.hal | Mathématiques [math]/Algèbres d'opérateurs [math.OA] | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.identifier.arxiv | 2207.13548 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03855145 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03855145v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BOUTONNET,%20R%C3%A9mi&HOUDAYER,%20Cyril&rft.genre=preprint |
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