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

Research of automorphism groups and group actions in the Theory of operator algebras
算子代数理论中自同构群和群作用的研究
批准号:
19740088
负责人:
MASUDA Toshihiko
金额:
$2.32万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Young Scientists (B)
财政年份:
2007
资助国家:
日本
项目状态:
已结题
起止时间:
2007 至 2010

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中文摘要
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英文摘要
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.
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会议论文
Evans-岸本型のintertwining argumentの一般化と離散従順群の単射的因子環への作用の分類
Evans-Kishimoto型交织论证的推广和离散顺从群对单射因子环作用的分类
DOI: --
发表时间: 2009
期刊:
影响因子: --
作者: [T., Masuda, 増田俊彦, 増田俊彦, 増田俊彦, 増田俊彦, 増田俊彦]
通讯作者: 増田俊彦
DOI: --
发表时间:
期刊:
影响因子: --
作者: []
通讯作者:
Classification of minimal actions of a compact Kac algebra with amenable dual
具有服从对偶的紧凑 Kac 代数的最小动作分类
DOI: --
发表时间: 2007
期刊: Commucations in Mathematical Physics. 274
影响因子: --
作者: [Toshihiko Masuda, Reiji Tomatsu]
通讯作者: Reiji Tomatsu
フォンノイマン環への群・量子群作用の分類
冯诺依曼环上的群和量子群作用的分类
DOI: --
发表时间: 2011
期刊:
影响因子: --
作者: [T., Masuda, 増田俊彦]
通讯作者: 増田俊彦
16
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