论文标题
张量产品的不可分解性结果生存关闭因子
Tensor product indecomposability results for existentially closed factors
论文作者
论文摘要
在本文的第一部分中，我们调查了Popa的变形/刚性理论的几个结果，这些结果涉及大型自然类别II $ _1 $因子的张量产品分解的分类。 Using a mélange of techniques from deformation/rigidity theory, model theory, and the recent works \cite{CIOS21,CDI22} we highlight an uncountable family of existentially closed II$_1$ factors $M$ which do not admit tensor product decompositions $M= P\bar \otimes Q$ into diffuse factors where $Q$ is full.在最后一部分中，我们讨论了有关存在封闭因素的结构理论的几个开放问题。
In the first part of the paper we survey several results from Popa's deformation/rigidity theory on the classification of tensor product decompositions of large natural classes of II$_1$ factors. Using a mélange of techniques from deformation/rigidity theory, model theory, and the recent works \cite{CIOS21,CDI22} we highlight an uncountable family of existentially closed II$_1$ factors $M$ which do not admit tensor product decompositions $M= P\bar \otimes Q$ into diffuse factors where $Q$ is full. In the last section we discuss several open problems regarding the structural theory of existentially closed factors.
