Topological Amenability

Details Topological Amenability Topological Amenability

2011-03-12

arxiv.org/abs/1103.2439v1

Mathematics

Group Theory

This is a Master's essay at EPFL. Supervisor : Prof. Nicolas Monod

Scientific paper

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)).

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