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

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

1999-03-28

arxiv.org/abs/math/9903164v1

Mathematics

Dynamical Systems

11 pages

Scientific paper

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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