磯野 優介

Last Update: 2021/06/23 13:18:58

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Name(Kanji/Kana/Abecedarium Latinum)
磯野 優介/イソノ ユウスケ/Isono, Yusuke
Primary Affiliation(Org1/Job title)
Research Institute for Mathematical Sciences (RIMS)/Associate Professor
Academic Organizations You are Affiliated to in Japan
Organization name(Japanese) Organization name(English)
日本数学会 The mathematical society of Japan
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
修士(数理科学) 東京大学
博士(数理科学) 東京大学
researchmap URL
https://researchmap.jp/yisono
Research Topics
(Japanese)
III型フォンノイマン環の研究とそれを用いたエルゴード理論への応用
(English)
Type III von Neumann algebras and application to ergodic theory
Overview of the research
(Japanese)
私の専門分野はフォンノイマン環論です.非常に雑に言えば,無限に大きなサイズの行列を研究するもので,フォンノイマンが量子力学の研究のために作った理論です.私が特に興味を持っているのは,「非従順環」と呼ばれる,物理的視点からは出てこない対象の数学的研究です.その名前から連想される通り,その構造は極めて難解です.これらが物理的にどのような意味を持つかは分かっていませんが,数学的対象としては文句なく面白く,やりがいのある研究です.
(English)
I am interested in the von Neumann algebra theory in mathematics. Roughly speaking, it is a study of matrices of "infinite size" and was founded for quantum mechanics. I am particularly interested in ''non-amenable algebras'' which do not appear from the physical viewpoints. Although physical meanings of them are not known, they are very interesting objects for mathematicians and I would like to clarify these mysterious structures.
Fields of research (key words)
Key words(Japanese) Key words(English)
フォンノイマン環論 von Neumann algebras
基礎解析学 basic analysis
作用素環論 operator algebras
関数解析 functional analysis
エルゴード理論 ergodic theory
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Kei Hasegawa, Yusuke Isono, Tomohiro Kanda Kei Hasegawa, Yusuke Isono, Tomohiro Kanda Kei Hasegawa, Yusuke Isono, Tomohiro Kanda Boundary and Rigidity of Nonsingular Bernoulli Actions Boundary and Rigidity of Nonsingular Bernoulli Actions Boundary and Rigidity of Nonsingular Bernoulli Actions Communications in Mathematical Physics Communications in Mathematical Physics Communications in Mathematical Physics 2021/06/11 Refereed English Research paper(scientific journal) Disclose to all
Martijn Caspers, Yusuke Isono, Mateusz Wasilewski Martijn Caspers, Yusuke Isono, Mateusz Wasilewski Martijn Caspers, Yusuke Isono, Mateusz Wasilewski L2-Cohomology, Derivations, and Quantum Markov Semi-Groups on q-Gaussian Algebras L2-Cohomology, Derivations, and Quantum Markov Semi-Groups on q-Gaussian Algebras L2-Cohomology, Derivations, and Quantum Markov Semi-Groups on q-Gaussian Algebras International Mathematics Research Notices, 2021, 9, 6405-6441 International Mathematics Research Notices, 2021, 9, 6405-6441 International Mathematics Research Notices, 2021, 9, 6405-6441 2021/05 Refereed English Research paper(scientific journal) Disclose to all
Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Connes' bicentralizer problem for q‐deformed Araki–Woods algebras Connes' bicentralizer problem for q‐deformed Araki–Woods algebras Connes' bicentralizer problem for q‐deformed Araki–Woods algebras Bulletin of the London Mathematical Society, 52, 6, 1010-1023 Bulletin of the London Mathematical Society, 52, 6, 1010-1023 Bulletin of the London Mathematical Society, 52, 6, 1010-1023 2020/12 Refereed English Research paper(scientific journal) Disclose to all
Yusuke Isono Yusuke Isono Yusuke Isono On fundamental groups of tensor product II_1 factors On fundamental groups of tensor product II_1 factors On fundamental groups of tensor product II_1 factors Journal of the Institute of Mathematics of Jussieu, 19, 4, 1121-1139 Journal of the Institute of Mathematics of Jussieu, 19, 4, 1121-1139 Journal of the Institute of Mathematics of Jussieu, 19, 4, 1121-1139 2020/07 Refereed English Research paper(scientific journal) Disclose to all
Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 150, 3, 1495-1532 Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 150, 3, 1495-1532 Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 150, 3, 1495-1532 2020/06 Refereed English Research paper(scientific journal) Disclose to all
Yusuke Isono Yusuke Isono Yusuke Isono Unique prime factorization for infinite tensor product factors Unique prime factorization for infinite tensor product factors Unique prime factorization for infinite tensor product factors Journal of Functional Analysis, 276, 7, 2245-2278 Journal of Functional Analysis, 276, 7, 2245-2278 Journal of Functional Analysis, 276, 7, 2245-2278 2019/04 Refereed English Research paper(scientific journal) Disclose to all
Yusuke Isono Yusuke Isono Yusuke Isono Cartan subalgebras of tensor products of free quantum group factors with arbitrary factors Cartan subalgebras of tensor products of free quantum group factors with arbitrary factors Cartan subalgebras of tensor products of free quantum group factors with arbitrary factors Analysis & PDE, 12, 5, 1295-1324 Analysis & PDE, 12, 5, 1295-1324 Analysis & PDE, 12, 5, 1295-1324 2019/01/01 Refereed English Research paper(scientific journal) Disclose to all
Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Unique prime factorization and bicentralizer problem for a class of type III factors Unique prime factorization and bicentralizer problem for a class of type III factors Unique prime factorization and bicentralizer problem for a class of type III factors Advances in Mathematics, 305, 402-455 Advances in Mathematics, 305, 402-455 Advances in Mathematics, 305, 402-455 2017/01 Refereed English Research paper(scientific journal) Disclose to all
Yusuke Isono Yusuke Isono Yusuke Isono Some prime factorization results for free quantum group factors Some prime factorization results for free quantum group factors Some prime factorization results for free quantum group factors Journal für die reine und angewandte Mathematik, 722, 215-250 Journal für die reine und angewandte Mathematik, 722, 215-250 Journal für die reine und angewandte Mathematik, 722, 215-250 2017/01 Refereed English Research paper(scientific journal) Disclose to all
Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Bi-Exact Groups, Strongly Ergodic Actions and Group Measure Space Type III Factors with No Central Sequence Bi-Exact Groups, Strongly Ergodic Actions and Group Measure Space Type III Factors with No Central Sequence Bi-Exact Groups, Strongly Ergodic Actions and Group Measure Space Type III Factors with No Central Sequence Communications in Mathematical Physics, 348, 3, 991-1015 Communications in Mathematical Physics, 348, 3, 991-1015 Communications in Mathematical Physics, 348, 3, 991-1015 2016/12 Refereed English Research paper(scientific journal) Disclose to all
Yusuke Isono Yusuke Isono Yusuke Isono Examples of factors which have no Cartan subalgebras Examples of factors which have no Cartan subalgebras Examples of factors which have no Cartan subalgebras Transactions of the American Mathematical Society, 367, 11, 7917-7937 Transactions of the American Mathematical Society, 367, 11, 7917-7937 Transactions of the American Mathematical Society, 367, 11, 7917-7937 2015/11 Refereed English Research paper(scientific journal) Disclose to all
Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Cyril Houdayer, Yusuke Isono Free independence in ultraproduct von Neumann algebras and applications Free independence in ultraproduct von Neumann algebras and applications Free independence in ultraproduct von Neumann algebras and applications Journal of the London Mathematical Society, 92, 1, 163-177 Journal of the London Mathematical Society, 92, 1, 163-177 Journal of the London Mathematical Society, 92, 1, 163-177 2015/08 Refereed English Research paper(scientific journal) Disclose to all
Yusuke Isono Yusuke Isono Yusuke Isono On Bi-exactness of Discrete Quantum Groups On Bi-exactness of Discrete Quantum Groups On Bi-exactness of Discrete Quantum Groups International Mathematics Research Notices, 2015, 11, 3619-3650 International Mathematics Research Notices, 2015, 11, 3619-3650 International Mathematics Research Notices, 2015, 11, 3619-3650 2015 Refereed English Research paper(scientific journal) Disclose to all
Yusuke Isono Yusuke Isono Yusuke Isono Weak exactness for C*-algebras and application to condition (AO) Weak exactness for C*-algebras and application to condition (AO) Weak exactness for C*-algebras and application to condition (AO) Journal of Functional Analysis, 264, 4, 964-998 Journal of Functional Analysis, 264, 4, 964-998 Journal of Functional Analysis, 264, 4, 964-998 2013/02/15 Refereed English Research paper(scientific journal) Disclose to all

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Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment Disclose
Ergodic theory of affine isometric actions on Hilbert spaces[Invited] Ergodic theory of affine isometric actions on Hilbert spaces [Invited] Ergodic theory of affine isometric actions on Hilbert spaces [Invited] Oparator theory and operator algebras 作用素論・作用素環論研究集会 Oparator theory and operator algebras 2020/11/25 Japanese Oral presentation(general) Disclose to all
Ergodic theory of affine isometric actions on Hilbert spaces[Invited] Ergodic theory of affine isometric actions on Hilbert spaces [Invited] Ergodic theory of affine isometric actions on Hilbert spaces [Invited] RIMS workshop RIMS研究集会「作用素環の分類理論における新展開」 RIMS workshop 2020/01/20 English Oral presentation(general) Disclose to all
Popa's intertwining theory for type III factors[Invited] Popa's intertwining theory for type III factors [Invited] Popa's intertwining theory for type III factors [Invited] Classification Problems in von Neumann Algebras Classification Problems in von Neumann Algebras Classification Problems in von Neumann Algebras 2019/10/01 English Oral presentation(general) Disclose to all
Tensor product decompositions and rigidity of full factors[Invited] Tensor product decompositions and rigidity of full factors [Invited] Tensor product decompositions and rigidity of full factors [Invited] Recent developments in operator algebras RIMS研究集会「作用素環論の最近の進展」 Recent developments in operator algebras 2019/09/06 English Oral presentation(general) Disclose to all
Deformation/rigidity theory and type III von Neumann algebras[Invited] Deformation/rigidity理論とIII型フォンノイマン環 [Invited] Deformation/rigidity theory and type III von Neumann algebras [Invited] Autumn Meeting of the Mathematical Society of Japan 日本数学会特別講演 Autumn Meeting of the Mathematical Society of Japan 2017/09/13 Japanese Oral presentation(invited, special) Disclose to all
Prime factorization for infinite tensor product factors[Invited] Prime factorization for infinite tensor product factors [Invited] Prime factorization for infinite tensor product factors [Invited] Von Neumann algebras and measured group theory Von Neumann algebras and measured group theory Von Neumann algebras and measured group theory 2017/07/06 English Oral presentation(general) Disclose to all
On fundamental groups of tensor product II_1 factors[Invited] On fundamental groups of tensor product II_1 factors [Invited] On fundamental groups of tensor product II_1 factors [Invited] Subfactors and Fusion Categories Subfactors and Fusion Categories Subfactors and Fusion Categories 2017/01/23 English Oral presentation(general) Disclose to all
On fundamental groups of tensor product II_1 factors[Invited] On fundamental groups of tensor product II_1 factors [Invited] On fundamental groups of tensor product II_1 factors [Invited] HIM workshop "Von Neumann Algebras" HIM workshop "Von Neumann Algebras" HIM workshop "Von Neumann Algebras" 2016/07/04 English Oral presentation(general) Disclose to all
Unique prime factorization and bicentralizer problem for a class of type III factors[Invited] Unique prime factorization and bicentralizer problem for a class of type III factors [Invited] Unique prime factorization and bicentralizer problem for a class of type III factors [Invited] Recent developments in operator algebras RIMS研究集会「作用素環論の最近の進展」 Recent developments in operator algebras 2015/08/21 English Oral presentation(general) Disclose to all
Free independence in ultraproduct von Neumann algebras and applications[Invited] Free independence in ultraproduct von Neumann algebras and applications [Invited] Free independence in ultraproduct von Neumann algebras and applications [Invited] Von Neumann Algebras and Ergodic Theory Von Neumann Algebras and Ergodic Theory Von Neumann Algebras and Ergodic Theory 2014/09/23 English Oral presentation(general) Disclose to all
Some prime factorization results for free quantum group factors[Invited] Some prime factorization results for free quantum group factors [Invited] Some prime factorization results for free quantum group factors [Invited] Recent developments in operator algebras RIMS研究集会「作用素環論の最近の進展」 Recent developments in operator algebras 2014/09/08 English Oral presentation(general) Disclose to all
Some prime factorization results for free quantum group factors Some prime factorization results for free quantum group factors Some prime factorization results for free quantum group factors ICM Satellite Conference on Operator Algebras and Applications ICM Satellite Conference on Operator Algebras and Applications ICM Satellite Conference on Operator Algebras and Applications 2014/08/08 English Oral presentation(general) Disclose to all
Some prime factorization results for free quantum group factors Some prime factorization results for free quantum group factors Some prime factorization results for free quantum group factors GPOTS 2014 GPOTS 2014 GPOTS 2014 2014/05/29 English Oral presentation(general) Disclose to all
Strong solidity of II_1 factors of free quantum groups[Invited] Strong solidity of II_1 factors of free quantum groups [Invited] Strong solidity of II_1 factors of free quantum groups [Invited] Recent developments in operator algebras RIMS研究集会「作用素環の最近の進展」 Recent developments in operator algebras 2013/09/13 Japanese Oral presentation(general) Disclose to all
Strong solidity of II_1 factors of free quantum groups[Invited] Strong solidity of II_1 factors of free quantum groups [Invited] Strong solidity of II_1 factors of free quantum groups [Invited] Von Neumann algebras and Measurable group theory Von Neumann algebras and Measurable group theory Von Neumann algebras and Measurable group theory 2013/07/01 English Oral presentation(general) Disclose to all
Strong solidity of II_1 factors of free orthogonal and unitary quantum groups[Invited] Strong solidity of II_1 factors of free orthogonal and unitary quantum groups [Invited] Strong solidity of II_1 factors of free orthogonal and unitary quantum groups [Invited] Approximation properties for quantum groups Approximation properties for quantum groups Approximation properties for quantum groups 2013/03/25 English Oral presentation(general) Disclose to all
II_1 factors of universal discrete quantum groups have no Cartan subalgebras[Invited] II_1 factors of universal discrete quantum groups have no Cartan subalgebras [Invited] II_1 factors of universal discrete quantum groups have no Cartan subalgebras [Invited] The Annual Christmas Conference of the Non Commutative Geometry GDR The Annual Christmas Conference of the Non Commutative Geometry GDR The Annual Christmas Conference of the Non Commutative Geometry GDR 2012/12/06 English Oral presentation(general) Disclose to all
Weak exactness for C*-algebras and application to condition (AO)[Invited] Weak exactness for C*-algebras and application to condition (AO) [Invited] Weak exactness for C*-algebras and application to condition (AO) [Invited] Recent developments in operator algebras and related topics RIMS研究集会「作用素環論の最近の発展と関連する話題について」 Recent developments in operator algebras and related topics 2012/09/24 English Oral presentation(general) Disclose to all

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External funds: competitive funds and Grants-in-Aid for Scientific Research (Kakenhi)
Type Position Title(Japanese) Title(English) Period
若手B Representative 群作用とフォンノイマン環 Group actions and von Neumann algebras 2017/04/01-2020/03/31
若手研究(B) Representative 群作用とフォンノイマン環 (平成29年度分) 2017/04/01-2018/03/31
若手研究(B) Representative 群作用とフォンノイマン環 (平成30年度分) 2018/04/01-2019/03/31
若手研究(B) Representative 群作用とフォンノイマン環 (2019年度分) 2019/04/01-2020/03/31
若手研究 Representative Deformation/rigidity theoryと冨田・竹崎理論 (2020年度分) 2020/04/01-2021/03/31
若手研究 Representative Deformation/rigidity theoryと冨田・竹崎理論 (2021年度分) 2021/04/01-2022/03/31
Teaching subject(s)
Name(Japanese) Name(English) Term Department Period
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2017/04-2018/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2018/04-2019/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2019/04-2020/03
線形代数学(講義・演義)A Linear Algebra with Exercises A 前期 全学共通科目 2020/04-2021/03
線形代数学(講義・演義)B Linear Algebra with Exercises B 後期 全学共通科目 2020/04-2021/03
作用素環セミナー研究a Seminar on Operator Algebras a 前期 理学研究科 2021/04-2022/03
作用素環セミナー研究b Seminar on Operator Algebras b 後期 理学研究科 2021/04-2022/03
作用素環セミナー研究c Seminar on Operator Algebras c 前期 理学研究科 2021/04-2022/03
作用素環セミナー研究d Seminar on Operator Algebras d 後期 理学研究科 2021/04-2022/03
線形代数学(講義・演義)A Linear Algebra with Exercises A 前期 全学共通科目 2021/04-2022/03
線形代数学(講義・演義)B Linear Algebra with Exercises B 後期 全学共通科目 2021/04-2022/03

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Experience of living abroad
Organization Department Research theme Country Period
Institut de Mathématiques de Jussieu von Neumann algebras France 2012/10/-2013/09/
University of California Los Angeles von Neumann algebras America 2015/10/-2016/02/