Charmenability of arithmetic groups of product type
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2020
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916844824166400 |
|---|---|
| author | Bader, Uri Boutonnet, Rémi Houdayer, Cyril Peterson, Jesse |
| author_facet | Bader, Uri Boutonnet, Rémi Houdayer, Cyril Peterson, Jesse |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_09952 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Charmenability of arithmetic groups of product type Bader, Uri Boutonnet, Rémi Houdayer, Cyril Peterson, Jesse Group Theory Dynamical Systems Operator Algebras Representation Theory 22D10, 22D25, 22E40, 37B05, 46L10, 46L30 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. |
| title | Charmenability of arithmetic groups of product type |
| topic | Group Theory Dynamical Systems Operator Algebras Representation Theory 22D10, 22D25, 22E40, 37B05, 46L10, 46L30 |
| url | https://arxiv.org/abs/2009.09952 |