Orbit equivalence and topological conjugacy of affine actions on compact abelian groups

1999/03/28 by Siddhartha Bhattacharya, Bhattacharya, Siddhartha · 1 citation
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.math/9903164

11 pages

arxiv created 1999/03/28 · arxiv updated 2009/11/30

Abstract

In this paper we study topological rigidity of affine actions on compact connected metrizable abelian groups. We also classify one-parameter flows of translations upto orbit equivalence and discrete group actions by translations upto topological conjugacy.

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