CHARMENABILITY OF ARITHMETIC GROUPS OF PRODUCT TYPE
Idioma
en
Article de revue
Este ítem está publicado en
Inventiones Mathematicae. 2020-05-20
Springer Verlag
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Proyecto ANR
Algèbres d'Opérateurs et Dynamique des Groupes - ANR-19-CE40-0008
Orígen
Importado de HalCentros de investigación