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

Toshihiko Masuda

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

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	273-300
Number of pages	28
Journal	Journal of Operator Theory
Volume	60
Issue number	2
Publication status	Published - Sep 2008

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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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.",

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