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arXiv · 1108.2767

Around King's Rank-One theorems: Flows and Z^n-actions

Élise Janvresse·Thierry De La Rue·Valery Ryzhikov
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Abstract

We study the generalizations of Jonathan King's 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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Élise Janvresse, Thierry De La Rue, Valery Ryzhikov. 2011-08-13. Around King's Rank-One theorems: Flows and Z^n-actions. https://arxiv.org/abs/1108.2767

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