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Mixing rank-one actions of locally compact Abelian groups
Authors:Alexandre I Danilenko  Cesar E Silva
Institution:a Max Planck Institute of Mathematics, Vivatsgasse 7, D53111 Bonn, Germany
b Department of Mathematics, Williams College, Williamstown, MA 01267, USA
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 gG.
Keywords:37A25  37A15
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