Joseph Auslander

Abstract: A minimal flow (X,T) is a jointly continuous action of a topological group T on a compact Hausdorff topological space X such that every orbit is dense. For every group T there is a unique universal minimal flow (M,T), whose defining property is that every minimal flow is a factor of it. One associates to a minimal flow a certain subgroup of the automorphism group of (M,T) in a functorial manner. Dynamical properties of minimal flows are correlated with these groups.