List of Masuda Toshihiko's publications

Research papers

1.An analogue of Longo's canonical endomorphism for bimodule theory and its application to asymptotic inclusions, Internat. J. Math. Vol.8, no.2, 249--265, (1997). doi.org/10.1142/S0129167X97000111.
2.Classification of actions of discrete amenable groups on strongly amenable subfactors of type III_\lambda, Proc. of AMS. 127, 2053--2057, (1999), doi.org/10.1090/S0002-9939-99-04752-8, funct-an.9703004.
3.Classification of strongly free actions of discrete amenable groups on strongly amenable subfactors of type III_0, Pac. J. Math. Vol.191, no.2, 347--357, (1999). doi.org/10.2140/pjm.1999.191.347,
4.Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras, Jour. Funct. Anal. Vol.171, no.1, 53--77, (2000). doi.org/10.1006/jfan.1999.3523.
5.Extension of automorphisms of a subfactor to the symmetric enveloping algebra, Internat. J. Math. Vo.12, no.6, 637--659, (2001). doi.org/10.1142/S0129167X01000988.
6.Classification of approximately inner actions of discrete amenable groups on strongly amenable subfactors, Internat. J. Math. Vol.16, no.10, 1193--1206, (2005). doi/abs/10.1142/S0129167X05003296.
7. Notes on group actions on subfactors, J. Math. Soc. Japan. Vol.55, no.1, 1--11, (2003). Project Euclid, math.OA.0010028.
8. On non-strongly free automorphisms of subfactors of type III_0, Canad. Math. Bull., Vol.46, 419--428, (2003). doi.org/10.4153/CMB-2003-042-6,
9. An analogue of Connes-Haagerup approach for classification of subfactors of type III_1, J. Math. Soc. Japan. Vol.57, no.4, 959--1003, (2005). Project Euclid.
10. Evans-Kishimoto type argument for actions of discrete amenable groups on McDuff factors, Math. Scand., Vol.101, no.1, 48--64, (2007), doi.org/10.7146/math.scand.a-15031, math.OA.0505311.
11. Classification of actions of duals of finite groups on the AFD factor of type II_1, Journal of Operator Theory, Vol.60, no.2, 273--300, (2008), JOT website, math.OA.0601601.
12. (with R. Tomatsu) Classification of minimal actions of a compact Kac algebra with amenable dual, Comm. Math. Phys. Vol.274, no.2, 487--551, (2007), doi.org/10.1007/s00220-007-0269-4, math.OA.0604348.
13. (with R. Tomatsu) Approximate innerness and central triviality of endomorphisms, Advance in Mathematics Vol.220, no.4, 1075--1134, (2009), doi.org/10.1016/j.aim.2008.10.005, arXiv.0802.0344.
14. (with R. Tomatsu) Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III, Jour. Funct. Anal. Vol.258, no.6, 1965--2025, (2010). doi.org/10.1016/j.jfa.2009.11.014. arxiv.OA.0806.4259.
15. Unified approach to classification of actions of discrete amenable groups on injective factors, J. Reine Anguew. Math , 683, 1--47, (2013), doi.org/10.1515/crelle-2011-0011, arXiv.1006.1176.
16. (with R. Tomatsu) Rohlin flows on von Neumann algebras, Mem. Amer. Math. Soc., Vol.244, no. 1153, (2016), doi.org/10.1090/memo/1153, arXiv.1206.0955.
17. (with R. Tomatsu) Classification of actions of discrete Kac algebras on injective factors, Mem. Amer. Math. Soc., Vol.245, no.1160, (2017), doi.org/10.1090/memo/1160, arXiv.1306.5046.
18. A simple sufficient condition for triviality of obstruction in the orbifold construction for subfactors, Math. Scand., Vol.121, no.1, 101--110, (2017), doi.org/10.7146/math.scand.a-26240, arXiv.1504.02554
19. Classification of Roberts actions of strongly amenable C^* tensor categories on the injective factor of type III_1, Internat. J. Math., Vol.28, no. 7, 1750052 (2017). doi.org/10.1142/S0129167X17500525, arXiv.1611.00476.
20. On the relative bicentralizer flows and the relative flow of weights of inclusions of factors of type III_1, Publ. RIMS Kyoto Univ , Vol. 56, no.2, 391--400, (2020), doi:10.4171/PRIMS/56-2-4 , arXiv:1812.02877.
21. Classification of outer actions of discrete amenable groupoids on injective factors, arXiv:2008:10205 , to appear in J. Math. Soc. Japan.

Survey papers

S1. (with R. Tomatsu) 従順因子環への群・量子群の作用について(in Japanese), 数学, Vol.64, no.1, 24-46, (2012), doi.org/10.11429/sugaku.0641024.
S2. (with R. Tomatsu) Actions of groups and quantum groups on amenable factors, (English traslation of [S1]), Sugaku Expositions, Vol.30, no.1, 111-136, (2017) doi.org/10.1090/suga/420
S3. Tomita-Takesaki theory and its application to the structure of factors of type III, Math. J. Okayama. Univ., Vol.60, 37--58, (2018)

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