Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

Toshihiko Masuda; Reiji Tomatsu

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arXiv · 0806.4259

Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

Toshihiko Masuda·Reiji Tomatsu

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Abstract

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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Toshihiko Masuda, Reiji Tomatsu. 2008-06-26. Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III. https://arxiv.org/abs/0806.4259

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