Katsura Takeshi 勝良健史

… Alternative Names

KATSURA Takeshi 勝良健史

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Researcher Number	50513298
Other IDs
Affiliation (Current)	2025: 慶應義塾大学, 理工学部(矢上), 教授
Affiliation (based on the past Project Information) *help	2018 – 2023: 慶應義塾大学, 理工学部(矢上), 教授 2016 – 2017: 慶應義塾大学, 理工学部(矢上), 准教授 2011 – 2016: 慶應義塾大学, 理工学部, 准教授 2008 – 2010: 慶應義塾大学, 理工学部, 講師 2009: 慶応義塾大学, 理工学部, 講師
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12010:Basic analysis-related Except Principal Investigator Geometry / General mathematics (including Probability theory/Statistical mathematics) / Broad Section B
Keywords	Principal Investigator 作用素環 / 国際研究者交流 / 力学系 / 集合論 / 非可換幾何 / C*環 / アメリカ：カナダ：デンマーク / カナダ：デンマーク / 国際情報交換 / 分類 … More / 関数解析 / 数学 / テノマークマレーノア / デンマーク:スペイン:イギリス / 関数解析学 … More Except Principal Investigator 国際研究者交流 / 国際情報交換 / 幾何学 / 非可換幾何学 / 連分数 / 数論幾何学 / L関数の特殊値 / 代数トーラス / 整数論 / 同変性 / 総実代数体 / L関数 / プレクティック構造 / p進実現 / Hodge実現 / モチーフ / ポリログ / 新谷生成類 / Hecke L関数 / 数論幾何 / 韓国：アメリカ：イスラエル / 非正曲率空間 / 固定点性質 / 超剛性 / ランダム群 / 調和写像 / 剛性 / 離散群 / 岩澤理論 / 複素シンプレクティック幾何学 / ディラック構造 / 多国籍 / 変形量子化問題 / ベルギー：ベトナム：フランス：オーストラリア / ジャーブ / ループ空間 / シンプレくティック多様体 / 国際交流アメリカ / 非可換ゲージ理論 / 非可換岩沢理論 / 超弦理論 / 一般幾何学 / T-双対性 / 離散幾何学 / 非可換多様体 / 岩沢理論 / シンプレクティック幾何学 / 変形量子化 / オランダ:フランス:韓国:イスラエル:イタリア / 非斉次ディオファンタス近似 / オランダ:フランス:韓国:イスラエル / Diophantus近似 / Rauzy induction / ユークリッドアルゴリズム / エルゴード理論 / 佐々木多様体 / 接触構造 / イタリア:中国:アメリカ / Godbillon-Vey不変量 / 位相幾何学 / 巡回コホモロジー / 葉層構造 / エータ不変量 / K理論 / 指数定理 / イタリア:フランス:オランダ / フランス:オランダ:イスラエル / 測度論敵数論 / 測度論的数論 / 非アルキメデス数体 Less

作用素環論と諸分野との相互作用Principal Investigator
- Principal Investigator
  
  勝良健史
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Keio University
Strategic research to construct motivic units using new symmetry
- Principal Investigator
  
  Bannai Kenichi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Review Section
  
  Broad Section B
- Research Institution
  Keio University
An approach to the superrigidity of infinite discrete groups via random groups
- Principal Investigator
  
  IZEKI Hiroyasu
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Keio University
Classification theory of C*-algebras over finite spacesPrincipal Investigator
- Principal Investigator
  
  KATSURA Takeshi
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
Perspectives for Quantum Differential Geometry
- Principal Investigator
  
  Maeda Yoshiaki
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
  Keio University
An ergodic study of algorithms
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Research on noncommutative dynamical systems from the viewpoint of classification theoryPrincipal Investigator
- Principal Investigator
  
  KATSURA Takeshi
- Project Period (FY)
  2009 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
Noncommutative Geometry and equivariant index theorem for twisted group actions
- Principal Investigator
  
  MORIYOSHI Hitoshi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
Ergodic theory and metric number theory
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University

All 2022 2020 2019 2018 2017 2016 2015 2014 2013 2012 2010 2009 Other

All Journal Article Presentation

[Journal Article] On the magic square C*-algebra of size 42022
- Author(s)
  Takeshi Katsura, Masahito Ogawa, Airi Takeuchi
- Journal Title
  
  Annales Mathematiques Blaise Pascal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03345
[Journal Article] The extension problem for graph C*-algebras2020
- Author(s)
  Soren Eilers, James Gabe, Takeshi Katsura, Efren Ruiz, Mark Tomforde
- Journal Title
  
  Annals of K-Theory
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03345
[Journal Article] The extension problem for graph C*-algebras2020
- Author(s)
  Eilers Soren、Gabe James、Katsura Takeshi、Ruiz Efren、Tomforde Mark
- Journal Title
  
  Annals of K-Theory
  
  Volume: 5 Issue: 2 Pages: 295-315
- DOI
  10.2140/akt.2020.5.295
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03345
[Journal Article] The ranges of K-theoretic invariants for nonsimple graph algebras2016
- Author(s)
  Eilers, Soren; Katsura, Takeshi; Tomforde, Mark; West, James
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 368 Pages: 3811-3847
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740109
[Journal Article] Nonseparable UHF algebras II: Classification2015
- Author(s)
  Farah, Ilijas; Katsura, Takeshi
- Journal Title
  
  Mathematica Scandinavica
  
  Volume: 117 Pages: 105-125
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740109
[Journal Article] Identifying AF-algebras that are graph C*-algebras2014
- Author(s)
  Eilers, Soren; Katsura, Takeshi; Ruiz, Efren; Tomforde, Mark
- Journal Title
  
  J. Funct. Anal
  
  Volume: 266 Pages: 3968-3996
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740109
[Journal Article] The K-theoretical range of Cuntz-Krieger algebras2014
- Author(s)
  Arklint, Sara E.; Bentmann, Rasmus; Katsura, Takeshi
- Journal Title
  
  J. Funct. Anal
  
  Volume: 266 Pages: 5448-5466
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740109
[Journal Article] Identifying AF-algebras that are graph C*-algebras2014
- Author(s)
  S.Eilers, T.Katsura, E.Ruiz, M.Tomforde
- Journal Title
  
  J. Funct. Anal.
  
  Volume: 266 Pages: 3968-3996
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340018
[Journal Article] The K-theoritical range of Cuntz-Krieger algebras2014
- Author(s)
  S.Arklint, R. Bentmann, T.Katsura
- Journal Title
  
  J.Funct. Anal.
  
  Volume: 266 Pages: 5448-5466
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340018
[Journal Article] On the invariant uniform Roe algebra2014
- Author(s)
  Katsura, Takeshi; Uuye, Otgonbayar
- Journal Title
  
  The Journal of Operator Theory
  
  Volume: 72 Pages: 549-556
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740109
[Journal Article] Dynamical systems of type (m,n) and their C*-algebras.2013
- Author(s)
  Ara, Pere; Exel, Ruy; Katsura, Takeshi
- Journal Title
  
  Ergodic Theory Dynam. Systems
  
  Volume: 33 Pages: 1291-1325
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740109
[Journal Article] Dynamical systems of type (m,n) and their C*-algebras2013
- Author(s)
  Pere Ara, Ruy Exel, Takeshi Katsura
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: To appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740109
[Journal Article] Dynamical systems of type (m,n) and C*-algebras2013
- Author(s)
  P.Ara, R.Exel, T.Katsura
- Journal Title
  
  Ergodic Theory Dyanam. Systems
  
  Volume: 33 Pages: 1291-1325
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340018
[Journal Article] Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence2010
- Author(s)
  T.Katsura, P.S.Muhly, A.Sims, M.Tomforde
- Journal Title
  
  Journal fur die Reine und Angewandte Mathematik
  
  Volume: 640 Pages: 135-165
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740127
[Journal Article] Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence2010
- Author(s)
  T.Katsura, P.S.Muhly, A.Sims, M.Tomforde
- Journal Title
  
  Journal fur die Reine und Angewandte Mathematik 640巻
  
  Pages: 135-165
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740127
[Journal Article] Nonseparable UHF algebras I : Dixmier's problem2010
- Author(s)
  Takeshi Katsura, Ilijas Farah
- Journal Title
  
  Advances in Mathematics 225巻
  
  Pages: 1399-1430
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740127
[Journal Article] Nonseparable UHF algebras I : Dixmier's problem2010
- Author(s)
  Takeshi Katsura, Ilijas Farah
- Journal Title
  
  Advances in Mathematics
  
  Volume: 225 Pages: 1399-1430
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740127
[Journal Article] Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras2009
- Author(s)
  T.Katsura, A.Sims, M.Tomforde
- Journal Title
  
  Journal of Functional Analysis 257
  
  Pages: 1589-1620
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740127
[Journal Article] Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras2009
- Author(s)
  T.Katsura, A.Sims, M.Tomforde
- Journal Title
  
  Journal of Functional Analysis 257巻
  
  Pages: 1589-1620
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740127
[Journal Article] Cuntz-Krieger algebras and C^*-algebras of topological graphs2009
- Author(s)
  Takeshi Katsura
- Journal Title
  
  Acta Applicandae Mathematicae 108巻
  
  Pages: 617-624
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740127
[Journal Article] Cuntz-Krieger algebras and C^*-algebras of topological graphs.2009
- Author(s)
  Takeshi Katsura
- Journal Title
  
  Acta Applicandae Mathematicae 108
  
  Pages: 617-624
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740127
[Journal Article] Nonseparable UHF algebras I : Dixmier's problem
- Author(s)
  Takeshi Katsura, Ilijas Farah
- Journal Title
  
  Advances in Mathematics
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740127
[Presentation] Ideal structure of C*-algebras of singly generated dynamical systems2022
- Author(s)
  Takeshi Katsura
- Organizer
  Symmetry and amenability in operator algebras
- Invited
- Data Source
  KAKENHI-PROJECT-18K03345
[Presentation] Symbolic dynamical systems and C*-algebras2020
- Author(s)
  勝良健史
- Organizer
  代数系、論理、言語と計算機科学の周辺II
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03345
[Presentation] K-theory of magic square C*-algebras2019
- Author(s)
  勝良健史
- Organizer
  Special Week on Operator Algebras 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03345
[Presentation] On magic square C＊-algebras of size 42019
- Author(s)
  勝良健史
- Organizer
  作用素論・作用素環論研究集会 2019
- Invited
- Data Source
  KAKENHI-PROJECT-18K03345
[Presentation] Classification theory of C*-algebras using K-theory2018
- Author(s)
  勝良健史
- Organizer
  慶應義塾大学理工学部数理科学科談話会
- Data Source
  KAKENHI-PROJECT-18K03345
[Presentation] On magic square C*-algebras2017
- Author(s)
  勝良健史
- Organizer
  Kyoto Operator Algebra Seminar
- Place of Presentation
  京都大学（京都府・京都市）
- Year and Date
  2017-03-08
- Data Source
  KAKENHI-PROJECT-24740109
[Presentation] Warped crossed products and their applications2016
- Author(s)
  勝良健史
- Organizer
  作用素環論の最近の進展
- Place of Presentation
  数理解析研究所（京都府・京都市）
- Year and Date
  2016-09-12
- Invited
- Data Source
  KAKENHI-PROJECT-24740109
[Presentation] Problems on non-simple semiprojective C*-algebras2012
- Author(s)
  Takeshi katsura
- Organizer
  Workshop on Semiprojective C*-Algebras
- Place of Presentation
  University of Copenhagen
- Data Source
  KAKENHI-PROJECT-23340018
[Presentation] Finite presentations of Kirchberg algebras2010
- Author(s)
  Takeshi Katsura
- Organizer
  Workshop on Semiprojectivity and Asymptotic Morphisms
- Place of Presentation
  University of Copenhagen
- Year and Date
  2010-05-20
- Data Source
  KAKENHI-PROJECT-21740127
[Presentation] Approximate divisibility and the Rokhlin property for non-unital C*-algebras2010
- Author(s)
  Takeshi Katsura
- Organizer
  LMS Midlands Regional Meeting and Works hop on C^*-algebras
- Place of Presentation
  University of Nottingham
- Year and Date
  2010-09-10
- Data Source
  KAKENHI-PROJECT-21740127
[Presentation] Approximate divisibility and the Rokhlin property for non-unital C^*-algebras2010
- Author(s)
  Takeshi Katsura
- Organizer
  LMS Midlands Regional Meeting and Workshop on C^*-algebras
- Place of Presentation
  University of Nottingham
- Year and Date
  2010-09-10
- Data Source
  KAKENHI-PROJECT-21740127
[Presentation] Finite presentations of Kirchberg algebras2010
- Author(s)
  Takeshi Katsura
- Organizer
  Workshop on Semiprojectivity and Asymptoti c Morphisms
- Place of Presentation
  University of Copenhagen
- Year and Date
  2010-05-20
- Data Source
  KAKENHI-PROJECT-21740127
[Presentation] C^*-algebras associated with C^*-correspondences2009
- Author(s)
  Takeshi Katsura
- Organizer
  Operator Algebra Special Session AMC-2009
- Place of Presentation
  Putra World Trade Centre, Kuala Lumpur, Malaysia
- Year and Date
  2009-06-24
- Data Source
  KAKENHI-PROJECT-21740127
[Presentation] Characterization of Cuntz-Krieger algebras
- Author(s)
  勝良健史
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  大阪教育大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740109
[Presentation] Problems on non-simple semiprojective C*-algebras
- Author(s)
  勝良健史
- Organizer
  Workshop on Semiprojective C*-Algebras
- Place of Presentation
  University of Copenhagen
- Invited
- Data Source
  KAKENHI-PROJECT-24740109
[Presentation] Classification of C*-algebras with finitely many ideals
- Author(s)
  Takeshi Katsura
- Organizer
  Workshop on Operator Algebras
- Place of Presentation
  University of Tokyo
- Invited
- Data Source
  KAKENHI-PROJECT-24740109
[Presentation] Classification of purely infinite C*-algebras with finitely many ideals
- Author(s)
  勝良健史
- Organizer
  GPOTS 2012
- Place of Presentation
  the University of Houston
- Invited
- Data Source
  KAKENHI-PROJECT-24740109

1. MIYAZAKI Takuya (10301409)

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2. NATSUI Rie (60398633)

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3. MAEDA Yoshiaki (40101076)

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4. WATAMUAR Satoshi (00201252)

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5. Izeki Hiroyasu (90244409)

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6. NAKADA Hitoshi (40118980)

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7. TAMURA Yozo (50171905)

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8. ATSUJI Atsushi (00221044)

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9. MORIYOSHI Hitoshi (00239708)

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10. KAMETANI Yukio (70253581)

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11. Bannai Kenichi (90343201)

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12. MAEJIMA Makoto (90051846)

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13. TANAKA Takaaki (60306850)

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14. YASUDA Kumi (40284484)

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16. TOSE Nobuyuki (00183492)

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17. MIYAZAKI Naoya (50315826)

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18. KATO Tsuyoshi (20273427)

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19. NATSUME Toshikazu (00125890)

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20. MITSUMATSU Yoshihiko (70190725)

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21. ONO Kaoru (20204232)

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22. TAMURA Akihisa (50217189)

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23. HAMA Masaki (90389875)

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24. ISHIKAWA Shiro (10051913)

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25. FUKUYAMA Katsushi (60218956)

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26. YOSHIDA Masamichi (60264793)

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27. EI Hiromi (60333051)

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28. MORITA Takehiko (00192782)

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29. INOUE Kae (90621011)

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30. Sako Akifumi (00424200)

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31. Kurihara Masato (40211221)

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32. Kotani Motoko (50230024)

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33. NAYATANI Shin (70222180)

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41. 山本修司 (20635370)

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42. KONDO Takefumi

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Katsura Takeshi 勝良 健史

KATSURA Takeshi 勝良 健史

Research Projects

Research Products

Co-Researchers

作用素環論と諸分野との相互作用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Strategic research to construct motivic units using new symmetry

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

An approach to the superrigidity of infinite discrete groups via random groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Classification theory of C*-algebras over finite spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

Perspectives for Quantum Differential Geometry

Principal Investigator

Project Period (FY)

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An ergodic study of algorithms

Principal Investigator

Project Period (FY)

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Research on noncommutative dynamical systems from the viewpoint of classification theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

Noncommutative Geometry and equivariant index theorem for twisted group actions

Principal Investigator

Project Period (FY)

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Research Institution

Ergodic theory and metric number theory

Principal Investigator

Project Period (FY)

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Research Institution

[Journal Article] On the magic square C*-algebra of size 42022

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[Journal Article] The extension problem for graph C*-algebras2020

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[Journal Article] The extension problem for graph C*-algebras2020

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[Journal Article] The ranges of K-theoretic invariants for nonsimple graph algebras2016

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[Journal Article] Nonseparable UHF algebras II: Classification2015

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Katsura Takeshi 勝良健史

KATSURA Takeshi 勝良健史