Ergodic Theory and Dynamical Systems

Research Article

Amenable actions of discrete groups

G. A. Elliotta1 and T. Giordanoa2 p1

a1 Mathematics Institute, Universitetsparken 5, 2100 Copenhagen ø, Denmark and Department of Mathematics, University of Toronto, Toronto, Canada M5S 1A1

a2 Section de Mathématiques, Université de Genève, CH-1211 Genève 24, Switzerland

Abstract

A structure theorem is established for amenable actions of a countable discrete group.

(Received February 18 1992)

(Revised September 21 1992)

Correspondence

p1 Present address: Department of Mathematics, University of Ottawa, 585 King Edward, Ottawa, Canada K1N 6N5