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arxiv: math/9903164 · v1 · submitted 1999-03-28 · 🧮 math.DS

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

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keywords actionstopologicalabelianaffinecompactconjugacyequivalencegroups
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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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