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

Toshihiko Masuda

Research output: Contribution to journal › Article

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 languageEnglish
Article number1750052
JournalInternational Journal of Mathematics
Volume28
Issue number7
DOIs
Publication statusPublished - Jun 1 2017

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Tensor Category
Injective
Subfactors
Endomorphism
Finitely Generated
Uniqueness
Generalise
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III1. / Masuda, Toshihiko.

In: International Journal of Mathematics, Vol. 28, No. 7, 1750052, 01.06.2017.

Research output: Contribution to journal › Article

Masuda, T 2017, 'Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III1', International Journal of Mathematics, vol. 28, no. 7, 1750052. https://doi.org/10.1142/S0129167X17500525
Masuda T. Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III1. International Journal of Mathematics. 2017 Jun 1;28(7). 1750052. https://doi.org/10.1142/S0129167X17500525
Masuda, Toshihiko. / Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III1. In: International Journal of Mathematics. 2017 ; Vol. 28, No. 7.
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