On commuting canonical endomorphisms of subfactors
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概要
- 論文の詳細を見る
In the Jones Index theory, Longos sector theory has been a powerful approach to the analysis for inclusions of factors and canonical endomorphisms have played an important role. In this paper, two topics on commuting canonical endomorphisms are studied: For a composition of two irreducible inclusions of depth 2 factors, the commutativity of corresponding canonical endomorphisms is shown to be the condition for the ambient irreducible inclusion to be of depth 2, that is, to give a finite dimensional Kac algebra. And an equivalent relation between the commuting co-commuting square condition and the existence of two simultaneous commuting canonical endomorphisms is discussed.
- 社団法人 日本数学会の論文
- 2003-01-01
著者
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Sano Takashi
Department Of Biochemistry And Medicine School Of Medicine And Nursing Kitasato University
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Sano Takashi
Department Of Mathematical Sciences Faculty Of Science Yamagata University
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