Topological Amenability
Group Theory
2011-03-15 v1 Dynamical Systems
Operator Algebras
Abstract
Let G be a locally compact topological group and X a compact space with continuous G-action. The main result of this essay states that the following statements are equivalent : 1) The action of G on X is topologically amenable ; 2) Every dual (G, X)-module of type C is a relatively injective Banach G-module ; 3) There is a G-invariant element in the double dual of C(X, L1(G)).
Cite
@article{arxiv.1103.2439,
title = {Topological Amenability},
author = {Terra Antonio},
journal= {arXiv preprint arXiv:1103.2439},
year = {2011}
}
Comments
This is a Master's essay at EPFL. Supervisor : Prof. Nicolas Monod