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

Siddhartha Bhattacharya
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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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Siddhartha Bhattacharya. 1999-03-28. Orbit equivalence and topological conjugacy of affine actions on compact abelian groups. https://arxiv.org/abs/math/9903164

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