### Abstract

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.

Original language | English |
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Pages (from-to) | 273-300 |

Number of pages | 28 |

Journal | Journal of Operator Theory |

Volume | 60 |

Issue number | 2 |

Publication status | Published - Sep 2008 |

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### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory