Classification of Minimal Actions of a Compact Kac Algebra with the Amenable Dual
نویسنده
چکیده
We show the uniqueness of minimal actions of a compact Kac algebra with the amenable dual on the AFD factor of type II1. This particularly implies the uniqueness of minimal actions of a compact group. Our main tools are a Rohlin type theorem, the 2-cohomology vanishing theorem, and the Evans-Kishimoto type intertwining argument.
منابع مشابه
Classification of Minimal Actions of a Compact Kac Algebra with Amenable Dual on Injective Factors of Type Iii
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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