Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III
classification
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keywords
factorstypeactionsalgebraamenablecompactdualinjective
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We classify a certain class of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III. Our main technical tools are the structural analysis of type III factors and the theory of canonical extension of endomorphisms introduced by Izumi.
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