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

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

2008-06-26

arxiv.org/abs/0806.4259v1

Mathematics

Operator Algebras

60pages

Scientific paper

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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