Around King's Rank-One theorems: Flows and Z^n-actions
  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. 
\'Elise Janvresse (LMRS), Thierry De La Rue (LMRS), Valery Ryzhikov
math.PR math.DS