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

Research output: Contribution to journalArticle

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

Fingerprint

Tensor Category
Injective
Subfactors
Endomorphism
Finitely Generated
Uniqueness
Generalise
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

@article{b68217ea32e84a98825e66ce89b197f4,
title = "Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III1",
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.",
author = "Toshihiko Masuda",
year = "2017",
month = "6",
day = "1",
doi = "10.1142/S0129167X17500525",
language = "English",
volume = "28",
journal = "International Journal of Mathematics",
issn = "0129-167X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "7",

}

TY - JOUR

T1 - Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III1

AU - Masuda, Toshihiko

PY - 2017/6/1

Y1 - 2017/6/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85021081995&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021081995&partnerID=8YFLogxK

U2 - 10.1142/S0129167X17500525

DO - 10.1142/S0129167X17500525

M3 - Article

AN - SCOPUS:85021081995

VL - 28

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 0129-167X

IS - 7

M1 - 1750052

ER -