Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III1

Toshihiko Masuda

doi:10.1142/S0129167X17500525

Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III₁

Toshihiko Masuda

Department of Mathematical Sciences

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

Abstract

In this paper, we generalize Izumi's result on uniqueness of realization of finite C∗-tensor categories in the endomorphism category of the injective factor of type III₁ for finitely generated strongly amenable C∗-tensor categories by applying Popa's classification theorem of strongly amenable subfactors of type III₁.

Original language	English
Article number	1750052
Journal	International Journal of Mathematics
Volume	28
Issue number	7
DOIs	https://doi.org/10.1142/S0129167X17500525
Publication status	Published - Jun 1 2017

All Science Journal Classification (ASJC) codes

Mathematics(all)

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