Research of automorphism groups and group actions in the Theory of operator algebras

我研究了自同构群和单射因子上的群作用。特别是研究了内射因子上顺从群作用的分类理论。与R.Tomatsu一起，我通过对偶定理分类了离散顺从Kac代数的作用和紧群在内射因子上的极小作用。通过Evans-Kishimoto的交织论证，我们还找到了关于单射因子上离散顺从群作用分类的统一证明。通过推广这一论点，我也给出了离散顺从群作用于子因子的分类，以及离散顺从群的外部作用于内射因子的分类。

I studied automorphism groups and group actions on injective factors. In particular, I studued classificatgion theory of amenable group actions on injective factors. With R.Tomatsu, I classified actions of discrete amenable Kac algebras, and minimal actions of compact groups on injective factors through the duality theorem. I also found a unified proof of classification of discrete amenable group actions on injective factors by Evans-Kishimoto's intertwining argument. By generalizing this argument, I also gave the classification of discrete amenable group actions on subfactors, and outer actions of discrete amenable groups on injective factors.