AROUND KING’S RANK-ONE THEOREMS: FLOWS AND Z n -ACTIONS
AROUND KING’S RANK-ONE THEOREMS: FLOWS AND Z n -ACTIONS
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围绕金一阶定理：流动和 Z n 作用
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
V. Ryzhikov
中科院分区：
文献类型：
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作者：
V. Ryzhikov
。本文研究了Jonathan King的秩一定理（弱闭包定理和因子刚性）对秩一R -作用（流）和秩一Z -作用（流）的推广。我们证明了这些结果在秩一流的情况下仍然有效。在已经给出反例的情况下，我们证明了因子的部分弱闭性、- orem和部分刚性。
. We study the generalizations of Jonathan King’s rank-one theo-rems (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 The- orem and partial rigidity of factors.