Publication

Gelfand pairs admit an Iwasawa decomposition

Nicolas Monod
2020
Journal Articles

Abstract

Every Gelfand pair (G, K) admits a decomposition G = K P, where P < G is an amenable subgroup. In particular, the Furstenberg boundary of G is homogeneous. Applications include the complete classification of non-positively curved Gelfand pairs, relying on earlier joint work with Caprace, as well as a canonical family of pure spherical functions in the sense of Gelfand-Godement for general Gelfand pairs.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Gelfand pairs admit an Iwasawa decomposition

Chat with Graph Search

Lamplighters and the bounded cohomology of Thompson's group

Group Approximation in Cayley Topology and Coarse Geometry, Part II: Fibred Coarse Embeddings

On the logic of collapsibility for causal effect measures