Classification of actions of duals of finite groups on the AFD factor of type II_1

Details Classification of actions of duals of finite groups on the AFD factor of type II_1 Classification of actions of duals of finite groups on the AFD factor of type II_1

2006-01-25

arxiv.org/abs/math/0601601v1

Mathematics

Operator Algebras

27 pages

Scientific paper

We will show the uniqueness of outer coactions of finite groups on the AFD
factor of type II$_1$ along the arguments by Connes, Jones and Ocneanu. Namely,
we construct the infinite tensor product type action, adopt it as the model
action, and prove that any outer coaction is conjugate to the model action.

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