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Around Kings Rank-One theorems: Flows and Z^n-actions

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 نشر من قبل Thierry De La Rue
 تاريخ النشر 2011
  مجال البحث
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We study the generalizations of Jonathan Kings rank-one theorems (Weak-Closure Theorem and rigidity of factors) to the case of rank-one R-actions (flows) and rank-one Z^n-actions. We prove that these results remain valid in the case of rank-one flows. In the case of rank-one Z^n actions, where counterexamples have already been given, we prove partial Weak-Closure Theorem and partial rigidity of factors.



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