Charmenability of arithmetic groups of product type

Autor:	Bader, Uri, Boutonnet, Rémi, Houdayer, Cyril, Peterson, Jesse
Rok vydání:	2020
Předmět:	Mathematics - Group Theory Mathematics - Dynamical Systems Mathematics - Operator Algebras Mathematics - Representation Theory 22D10 22D25 22E40 37B05 46L10 46L30
Zdroj:	Invent. Math. 229 (2022), 929-985
Druh dokumentu:	Working Paper
Popis:	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. Comment: 39 pages. v3: minor modifications. To appear in Invent. Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.09952 Zobrazit plný text záznamu View this record from Arxiv