Classification of actions of duals of finite groups on the AFD factor of type II1

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Abstract

We will show the uniqueness of outer coactions of finite groups on the AFD factor of type II1 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 languageEnglish
Pages (from-to)273-300
Number of pages28
JournalJournal of Operator Theory
Volume60
Issue number2
Publication statusPublished - Sep 2008

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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