Mixing rank-one actions of locally compact Abelian groups |
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Authors: | Alexandre I Danilenko Cesar E Silva |
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Institution: | a Max Planck Institute of Mathematics, Vivatsgasse 7, D53111 Bonn, Germany b Department of Mathematics, Williams College, Williamstown, MA 01267, USA |
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Abstract: | Using techniques related to the (C,F)-actions we construct explicitly mixing rank-one (by cubes) actions T of G=Rd1×Zd2 for any pair of non-negative integers d1, d2. It is also shown that h(Tg)=0 for each g∈G. |
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Keywords: | 37A25 37A15 |
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