Toshihiko Masuda - My portal - researchmap

Profile Information

Affiliation: Professor, Faculty of Mathematics, Kyushu University

Degree: 博士(数理科学)

J-GLOBAL ID: 200901086878777948
researchmap Member ID: 5000012293

Research Interests

2

Research Areas

1

Natural sciences / Mathematical analysis /

Papers

22

Actions of discrete amenable groups into the normalizers of full groups of ergodic transformations

Toshihiko Masuda

Ergodic theory and Dynamical Systems, Oct 28, 2022 Peer-reviewedLead author
Classification of outer actions of discrete amenable groupoids on injective factors

Toshihiko Masuda

Journal of Mathematical Society of Japan, Aug 24, 2020 Peer-reviewed
On the Relative Bicentralizer Flows and the Relative Flow of Weights of Inclusions of Factors of Type III$_1$

Toshihiko Masuda

Publications of the Research Institute for Mathematical Sciences, 56(2) 391-400, Apr 2, 2020 Peer-reviewed
Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III1

Toshihiko Masuda

International Journal of Mathematics, 28(07) 1750052-1750052, Jun, 2017 Peer-reviewed
Classification of actions of discrete Kac algebras on injective factors

Toshihiko Masuda, Reiji Tomatsu

Memoirs of American Mathematcal Society, 245(1160), Jan, 2017 Peer-reviewed
A simple sufficient condition for triviality of obstructions in the orbifold construction for subfactors

Toshihiko Masuda

Mathematica Scandinavica, 121(1) 101-110, 2017 Peer-reviewed
Rohlin Flows on von Neumann Algebras

Toshihiko Masuda, Reiji Tomatsu

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 244(1153) VII-+, Nov, 2016 Peer-reviewed
Unified approach to the classification of actions of discrete amenable groups on injective factors

Toshihiko Masuda

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 683 1-47, Oct, 2013 Peer-reviewed
Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

Toshihiko Masuda, Reiji Tomatsu

JOURNAL OF FUNCTIONAL ANALYSIS, 258(6) 1965-2025, Mar, 2010 Peer-reviewed
Approximate innerness and central triviality of endomorphisms

Toshihiko Masuda, Reiji Tomatsu

ADVANCES IN MATHEMATICS, 220(4) 1075-1134, Mar, 2009 Peer-reviewed
Classification of actions of duals of finite groups on the AFD factor of type II_1

Toshihiko Masuda

Journal of Operator Theory, 60(2) 273--300, 2008 Peer-reviewed
Classification of minimal actions of a compact Kac algebra with amenable dual

Toshihiko Masuda, Reiji Tomatsu

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 274(2) 487-551, Sep, 2007 Peer-reviewed
Evans-kishimoto type argument for actions of discrete amenable groups on McDuff factors

Toshihiko Masuda

MATHEMATICA SCANDINAVICA, 101(1) 48-64, 2007 Peer-reviewed
Classification of approximately inner actions of discrete amenable groups on strongly amenable subfactors

T Masuda

INTERNATIONAL JOURNAL OF MATHEMATICS, 16(10) 1193-1206, Nov, 2005 Peer-reviewed
An analogue of Connes-Haagerup approach for classification of subfactors of type III1

T Masuda

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 57(4) 959-1001, Oct, 2005 Peer-reviewed
On non-strongly free automorphisms of subfactors of type III0

T Masuda

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 46(3) 419-428, Sep, 2003 Peer-reviewed
Notes on group actions on subfactors

MASUDA Toshihiko

Tokyo Sugaku Kaisya Zasshi, 55(1) 1-11, Jan 1, 2003
Extension of automorphisms of a subfactor to the symmetric enveloping algebra

T Masuda

INTERNATIONAL JOURNAL OF MATHEMATICS, 12(6) 637-659, Aug, 2001 Peer-reviewed
Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras

T Masuda

JOURNAL OF FUNCTIONAL ANALYSIS, 171(1) 53-77, Feb, 2000 Peer-reviewed
Classification of strongly free actions of discrete amenable groups on strongly amenable subfactors of type III0

T Masuda

PACIFIC JOURNAL OF MATHEMATICS, 191(2) 347-357, Dec, 1999 Peer-reviewed

More

Misc.

9

Tomita-Takesaki theory and its application to the structure theory of factors of type III

Masuda Toshihiko

Mathematical Journal of Okayama University, 60(1) 37-58, Jan, 2018
Actions of groups and quantum groups on amenable factors

Tomatsu Reiji, Masuda Toshihiko

SUGAKU, 64(1) 24-46, Jan, 2012 Peer-reviewed
単射的${\rm III_1}$型因子環の一意性に関する覚書 (作用素環論における最近の分類問題について)

増田俊彦

数理解析研究所講究録, 1435 53-60, May, 2005
$III_1$型部分因子環の分類について (作用素環における量子解析の展開)

増田俊彦

数理解析研究所講究録, 1354 29-34, Jan, 2004
$III_0$ subfactorのnon-strongly free automorphismについて (作用素環論の多様性)

増田俊彦

数理解析研究所講究録, 1230 44-48, Oct, 2001
On classification of approximately inner actions of discrete amenable groups on strongly amenable subfactors (Progress in Operator Algebras)

Masuda Toshihiko

RIMS Kokyuroku, 1131 45-52, Feb, 2000
Extension of automorphisms of a subfactor to the symmetric enveloping algebra (Hilbert $C^*$-modules and groupoid $C^*$-algebras)

Masuda Toshihiko

RIMS Kokyuroku, 1110 64-67, Aug, 1999
Asymptotic inclusion と Longo-Rehren の構成について(作用素環論における最近の発展)

増田俊彦

数理解析研究所講究録, 977 1-5, Feb, 1997
An analogue of Longo's canonical endomorphism for bimodule theory and its application to the asymptotic inclusion

Masuda Toshihiko

RIMS Kokyuroku, 956 38-41, Aug, 1996

Presentations

4

Introduction to Rohlin flows on von Neumann algebras

Jan 22, 2024
Actions of discrete amenable groups into the normalizers of full groups of ergodic transformations

Toshihiko Masuda

Sep 22, 2023
Modular actions of a discrete Kac algebras on type III factors

Sep 13, 2023
Actions of discrete amenable groups into the normalizers of full groups of ergodic transformations

Toshihiko Masuda

Jun 6, 2023

Professional Memberships

1

日本数学会

Research Projects

14

作用素環とその対称性についての研究

科学研究費助成事業基盤研究(C), 基盤研究(C), 日本学術振興会, Apr, 2022 - Mar, 2026

増田俊彦
作用素環における自己同型からくる対称性の研究

科学研究費助成事業, 基盤研究(C), 日本学術振興会, Apr, 2016 - Mar, 2023

増田俊彦
Research on comlex dynamical systems and C*-algebras

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2018

Watatani Yasuo, Matsui Taku, Ueda Yoshimichi, Masuda Toshihiko, Kajiwara Tsuyoshi, Matsumoto Kengo
Research of automorphism groups and group action classification of operator algebras

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2011 - 2015

Masuda Toshihiko, Tomatsu Reiji
Research of automorphism groups and group actions in the Theory of operator algebras

Grants-in-Aid for Scientific Research(若手研究(B)), 若手研究(B), Ministry of Education, Culture, Sports, Science and Technology, 2007 - 2011

Toshihiko MASUDA
Study on Complex dynamical systems and operator algebras

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2007 - 2010

WATATANI Yasuo, KOSAKI Hideki, MATSUI Taku, KAJIWARA Tsuyoshi, UEDA Yoshimichi, MASUDA Toshihiko
Study on operator theory and operator means

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2007 - 2010

KOSAKI Hideki, WATATANI Yasuo
Synthetic Studies on Operator Algebras and Mathematical Physics

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2007 - 2010

KAWAHIGASHI Yasuyuki, OZAWA Narutaka, IZUMI Masaki, KISHIMOTO Akitaka, HIAI Fumio, KOSAKI Hideki, MATSUI Taku, UEDA Yoshimichi, MASUDA Toshihiko, MATUI Hiroki
Functional Analysis of Quantum Systems with Infinite Degree ofFir Freedom

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2004 - 2007

MATSUI Taku, TASAKI Shuichi, HIROKAWA Masako, NAKAYASHIKI Atsushi, UEDA Yoshimichi, HIROSHIMA Fumio
Research of the structure of subfactors in the theory of operator algebras

Grant-in-Aid for Scientific Research, 2003 - 2005
Study of recent topics on operator algebras

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2002 - 2005

KOSAKI Hideki, IZUMI Masaki, UCHIYAMA Mitsuru, MATSUMOTO Kengo, MASUDA Toshihiko, WATATANI Yasuo
作用素環論における部分因子環の構造に関する研究

科学研究費補助金(若手研究(B)), 若手研究(B), 文部科学省, 2002 - 2004

増田俊彦
Research of subfactor theory in operator algebras

Grant-in-Aid for Scientific Research, 2000 - 2002
作用素環論における部分因子環理論の研究

科学研究費補助金(奨励研究(A)), 奨励研究(A), 文部科学省, 2000 - 2001

増田俊彦