Classification of minimal actions of a compact Kac algebra with amenable dual

Details Classification of minimal actions of a compact Kac algebra with amenable dual Classification of minimal actions of a compact Kac algebra with amenable dual

2006-04-15

arxiv.org/abs/math/0604348v2

Mathematics

Operator Algebras

68 pages, Introduction rewritten; minor corrections

Scientific paper

10.1007/s00220-007-0269-4

We show the uniqueness of minimal actions of a compact Kac algebra with
amenable dual on the AFD factor of type II$_1$. 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.

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