AOI Hisashi 青井久

Researcher Number	90396276
Other IDs
Affiliation (Current)	2025: 立命館大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help	2009 – 2014: Yamanashi Eiwa College, 理工学部, 准教授 2007 – 2008: Yamanashi Eiwa College, 人間文化学部, 助教
Review Section/Research Field	Principal Investigator Global analysis Except Principal Investigator Global analysis
Keywords	Principal Investigator 作用素環 / 同値関係 / 保型形式 / ヘッケ環 / ヘッケ作用素 / ヘッケ対 / フォンノイマン環 / コサイクル / 関数解析 / 誘導作用 … More / 双対作用 / 作用素環論 / 余作用 / エルゴード理論 / 1コサイクル … More Except Principal Investigator 因子環 / ヘッケ環 / コサイクル / 測度付き同値関係 / フォンノイマン環 / 部分同値関係 / ヘッケ対 / エルゴード性 / 局所コンパクト量子群 / 作用素環 / 関数解析学 / 通約可能性 / 同値関係 / almost normal / Commensurable / Hecke環 / 部分因子間 / Commensuarble / Hecke pair / 数論 / 余作用 / 部分因子環 / エルゴード理論 Less

Investigation of Hecke von Neumann algebras determined by equivalence relations and applications to automorphic formsPrincipal Investigator
- Principal Investigator
  
  AOI Hisashi
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Ritsumeikan University
Study on locally compact quantum groups and measured groupoids
- Principal Investigator
  
  YAMANOUCHI Takehio
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Gakugei University
Research on von Neumann algebras from a viewpoint of their close relation with ergodic theory
- Principal Investigator
  
  YAMANOUCHI Takehiko
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido University
A study on quantum groups and von Neumann algebras concerning dual actionsPrincipal Investigator
- Principal Investigator
  
  AOI Hisashi
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Yamanashi Eiwa College

All 2014 2011 2010 2009 2008 2007 Other

All Journal Article Presentation

[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010
- Author(s)
  青井久、山ノ内毅彦
- Journal Title
  
  Publ.RIMS Kyoto Univ
  
  Volume: 46 Pages: 607-667
- NAID
  110007697250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740090
[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010
- Author(s)
  H. Aoi、T. Yamanouchi
- Journal Title
  
  Publications of Research Institute for Mathematical Sciences
  
  Volume: Vol.46(Kyoto University) Issue: 3 Pages: 607-667
- DOI
  10.2977/prims/20
- NAID
  110007697250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540215
[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010
- Author(s)
  H.Aoi、T.Yamanouchi
- Journal Title
  
  Publ.RIMS Kyoto Univ. 46巻
  
  Pages: 607-667
- NAID
  110007697250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740090
[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010
- Author(s)
  H.Aoi, T.Yamanouchi
- Journal Title
  
  Publications of Research Institute for Mathematical Sciences, Kyoto University
  
  Volume: 46 Pages: 607-667
- NAID
  110007697250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540215
[Journal Article] A characterization of a coaction reduced to that of a closed subgroup2008
- Author(s)
  H. Aoi
- Journal Title
  
  Tokyo Journal of Mathematics 30
  
  Pages: 311-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740090
[Journal Article] A characterization of a coaction reduced to that of a closed subgroup2008
- Author(s)
  H.Aoi
- Journal Title
  
  Tokyo Journal of Mathematics 30巻
  
  Pages: 311-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740090
[Journal Article] A characterization of a coaction reduced to that of a closed subgroup2007
- Author(s)
  Hisashi Aoi
- Journal Title
  
  Tokyo Journal of Mathematics 30
  
  Pages: 311-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540206
[Journal Article] A Characterization of a Coaction Reduced to That of a Closed Subgroup2007
- Author(s)
  Hisashi AOI
- Journal Title
  
  Tokyo Journal of Mathematics 30
  
  Pages: 311-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740090
[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations
- Author(s)
  H. AOI, T, YAMANOUCHI
- Journal Title
  
  Publications of Research Institute for Mathematical Sciences, Kyoto University (掲載決定)
- NAID
  110007697250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540206
[Presentation] Hecke pairs of ergodic measured equivalence relations2014
- Author(s)
  青井久
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  東洋大学白山キャンパス(東京都・文京区)
- Year and Date
  2014-12-25
- Invited
- Data Source
  KAKENHI-PROJECT-23740132
[Presentation] Schlichting completion of Hecke pairs2014
- Author(s)
  青井久(発表者)、山ノ内毅彦
- Organizer
  2014年日本数学会春季・函数解析分科会
- Place of Presentation
  学習院大学、東京都
- Year and Date
  2014-03-17
- Data Source
  KAKENHI-PROJECT-22540215
[Presentation] 同値関係における通約性2014
- Author(s)
  青井久
- Organizer
  岐阜数理科学セミナー
- Place of Presentation
  岐阜大学(岐阜県・岐阜市)
- Year and Date
  2014-07-23
- Invited
- Data Source
  KAKENHI-PROJECT-23740132
[Presentation] Sage Notebook Server の構築と活用2014
- Author(s)
  青井久
- Organizer
  Sage Days 63
- Place of Presentation
  信州大学松本キャンパス(長野県・松本市)
- Year and Date
  2014-10-12
- Invited
- Data Source
  KAKENHI-PROJECT-23740132
[Presentation] Schlichting completion of Hecke pairs2014
- Author(s)
  青井久(連携研究者, 発表代表者), 山ノ内毅彦(研究代表者)
- Organizer
  日本数学会
- Place of Presentation
  学習院大学、東京都
- Data Source
  KAKENHI-PROJECT-22540215
[Presentation] KNOPPIX/Math 利用報告‐立命館大学数理科学科における活用事例2011
- Author(s)
  青井久
- Organizer
  数学ソフトウェアとフリードキュメントXIII(招待講演)
- Place of Presentation
  信州大学（長野県）
- Data Source
  KAKENHI-PROJECT-23740132
[Presentation] A characterization of a coaction associated with the induced action2010
- Author(s)
  H.Aoi
- Organizer
  The 12^<th> KOTAC International Conference 2010
- Place of Presentation
  インチョン大学(韓国)
- Year and Date
  2010-06-17
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] エルゴード同値関係の包含関係から作られるヘッケ・フォンノイマン環について2010
- Author(s)
  H.Aoi、Y.Yamanouchi
- Organizer
  RIMS共同研究「作用素環論の最近の進展について」
- Place of Presentation
  京都大学数理解析研究所(京都府)
- Year and Date
  2010-09-01
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] 測度空間上の同値関係における正規性と通約性について2010
- Author(s)
  H.Aoi
- Organizer
  表現論、組み合わせ論とその周辺
- Place of Presentation
  琉球大学(沖縄県)
- Year and Date
  2010-12-01
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] 誘導作用と余作用の縮小可能性について2010
- Author(s)
  青井久
- Organizer
  立命館大学作用素論、作用素環論セミナー
- Place of Presentation
  滋賀県(立命館大学)
- Year and Date
  2010-03-11
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] A characterization of a coaction associated with the induced action2010
- Author(s)
  青井久
- Organizer
  The 12th KOTAC International Conference 2010
- Place of Presentation
  インチョン大学(韓国)
- Year and Date
  2010-06-17
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] Coactions on von Neumann algebras2009
- Author(s)
  H.Aoi
- Organizer
  立命館大学解析セミナー
- Place of Presentation
  立命館大学(滋賀県)
- Year and Date
  2009-05-12
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] Coactions on von Neumann algebras2009
- Author(s)
  青井久
- Organizer
  立命館大学解析セミナー
- Place of Presentation
  滋賀県(立命館大学)
- Year and Date
  2009-05-12
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] Coactions on von Neumann algebras2009
- Author(s)
  H. Aoi
- Organizer
  立命館大学解析セミナー
- Place of Presentation
  立命館大学
- Year and Date
  2009-05-12
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] 余作用の縮小可能性について2008
- Author(s)
  H. Aoi
- Organizer
  北海道大学月曜解析セミナー
- Place of Presentation
  北海道大学
- Year and Date
  2008-07-28
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] 余作用の縮小可能性について2008
- Author(s)
  H.Aoi
- Organizer
  北海道大学月曜解析セミナー
- Place of Presentation
  北海道大学(北海道)
- Year and Date
  2008-07-28
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] 余作用の縮小可能性について2008
- Author(s)
  青井久
- Organizer
  北海道大学数学教室月曜解析セミナー
- Place of Presentation
  北海道大学
- Year and Date
  2008-07-28
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] 測度空間上の同値関係とフォン・ノイマン環について-正規性と通約性-2007
- Author(s)
  H. Aoi
- Organizer
  RIMS共同研究「作用素環論の新展開」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-09-11
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] 測度空間上の同値関係とフォン・ノイマン環について-正規性と通約性-2007
- Author(s)
  H.Aoi
- Organizer
  RIMS共同研究「作用素環論の新展開」
- Place of Presentation
  京都大学数理解析研究所(京都府)
- Year and Date
  2007-09-11
- Data Source
  KAKENHI-PROJECT-19740090
[Presentation] Schlichting completion of Hecke pairs
- Author(s)
  青井久
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学（東京都）
- Data Source
  KAKENHI-PROJECT-23740132
[Presentation] 大学における数学教育，研究のための Sage サーバ運用事例
- Author(s)
  青井久
- Organizer
  数学ソフトウェアとフリードキュメント18
- Place of Presentation
  学習院大学（東京都）
- Invited
- Data Source
  KAKENHI-PROJECT-23740132

1. YAMANOUCHI Takehiko (30241293)

# of Collaborated Projects: 2 results

# of Collaborated Products: 5 results
2. KISHIMOTO Akitaka (00128597)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

AOI Hisashi 青井 久

Research Projects

Research Products

Co-Researchers

Investigation of Hecke von Neumann algebras determined by equivalence relations and applications to automorphic formsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on locally compact quantum groups and measured groupoids

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on von Neumann algebras from a viewpoint of their close relation with ergodic theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A study on quantum groups and von Neumann algebras concerning dual actionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations2010

Author(s)

Journal Title

NAID

Data Source

[Journal Article] A characterization of a coaction reduced to that of a closed subgroup2008

Author(s)

Journal Title

Data Source

[Journal Article] A characterization of a coaction reduced to that of a closed subgroup2008

Author(s)

Journal Title

Data Source

[Journal Article] A characterization of a coaction reduced to that of a closed subgroup2007

Author(s)

Journal Title

Data Source

[Journal Article] A Characterization of a Coaction Reduced to That of a Closed Subgroup2007

Author(s)

Journal Title

Data Source

[Journal Article] Hecke von Neumann algebra of ergodic discrete measured equivalence relations

Author(s)

Journal Title

NAID

Data Source

[Presentation] Hecke pairs of ergodic measured equivalence relations2014

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Schlichting completion of Hecke pairs2014

Author(s)

Organizer

Place of Presentation

AOI Hisashi 青井久