Non-commutative ergodic theory of semi-simple lattices
Rémi Boutonnet (Institut de Mathématiques de Bordeaux, France)
Abstract: In the late 90's, Nevo and Zimmer wrote a series of papers describing the general structure of stationnary actions of higher rank semi-simple Lie groups G on probability spaces. With Cyril Houdayer we extended this result in two ways: first we upgraded it to actions on non-commutative spaces (von Neumann algebras), and we also managed to study actions of lattices in G. I will explain this non-commutative ergodic theorem and the main ingredients of proof, and give striking consequences on the unitary representations of these lattices and their characters.
operator algebras
Audience: researchers in the topic
Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.
The zoom links will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Rubén Martos, Frank Taipe*, Makoto Yamashita |
| *contact for this listing |