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Orbit Equivalence and Topological Conjugacy of Affine Actionson Compact Abelian Groups

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Abstract.

 We study topological rigidity of affine actions on compact connected metrizable abelian groups. We also classify one parameter flows of translations up to orbit equivalence and discrete group actions by translations up to topological conjugacy.

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(Received 21 December 1998; in revised form 2 June 1999)

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Bhattacharya, S. Orbit Equivalence and Topological Conjugacy of Affine Actionson Compact Abelian Groups. Mh Math 129, 89–96 (2000). https://doi.org/10.1007/s006050050008

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  • DOI: https://doi.org/10.1007/s006050050008

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