CHARMENABILITY OF ARITHMETIC GROUPS OF PRODUCT TYPE
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BOUTONNET, Rémi | |
| dc.contributor.author | BADER, Uri | |
| dc.contributor.author | HOUDAYER, Cyril | |
| dc.contributor.author | PETERSON, Jesse | |
| dc.date.accessioned | 2024-04-04T02:48:57Z | |
| dc.date.available | 2024-04-04T02:48:57Z | |
| dc.date.issued | 2020-05-20 | |
| dc.identifier.issn | 0020-9910 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191783 | |
| dc.description.abstractEn | We discuss special properties of the spaces of characters and positive definite functions , as well as their associated dynamics, for arithmetic groups of product type. Axiomatizing these properties, we define the notions of charmenability and charfiniteness and study their applications to the topological dynamics, ergodic theory and unitary representation theory of the given groups. To do that, we study singularity properties of equivariant normal ucp maps between certain von Neumann algebras. We apply our discussion also to groups acting on product of trees. | |
| dc.description.sponsorship | Algèbres d'Opérateurs et Dynamique des Groupes - ANR-19-CE40-0008 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | CHARMENABILITY OF ARITHMETIC GROUPS OF PRODUCT TYPE | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00222-022-01117-w | |
| 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 | 2009.09952 | |
| bordeaux.journal | Inventiones Mathematicae | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02989664 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02989664v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Inventiones%20Mathematicae&rft.date=2020-05-20&rft.eissn=0020-9910&rft.issn=0020-9910&rft.au=BOUTONNET,%20R%C3%A9mi&BADER,%20Uri&HOUDAYER,%20Cyril&PETERSON,%20Jesse&rft.genre=article |
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