KATAYAMA Yoshikazu 片山良一

… Alternative Names

片山良一タカヤマリョウイチ

Less

Researcher Number	10093395
Other IDs
Affiliation (based on the past Project Information) *help	1998 – 2007: Osaka Kyoiku U., Faculty of Education, Prof., 教育学部, 教授 1997: 大阪教育大学, 教育学部, 助教授 1995: 大阪教育大学, 教育学部, 助教授 1993: 大阪教育大学, 教育学部, 助教授 1990 – 1991: 大阪教育大学, 教育学部, 助教授 1986: 滋賀県立短期大学, 助教授
Review Section/Research Field	Principal Investigator Global analysis / Global analysis Except Principal Investigator 解析学 / Global analysis / Basic analysis / Geometry / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Algebra
Keywords	Principal Investigator outer conjugate / III型因子環 / 従順な離散群 / G-核 / 3-cohomology / outer action / ハイゼンベルグ群 / コホモロジー群 / 外部自己同型 / 3次のコサイクル … More / AFD因子環 / 外部同値 / 3次コサイクル / 外部作用 / factor of type III / amenable discrete group / G-kernel / III形因子環 / 外部共役同値類 / 外部同値類 / Hilbert bimodule / Cuntz algebra / group action / Conjugacy of G-Kernel / 群作用の特性類 / Cuntz-Krieger環 / 超有限因子環 / ヒルベルト加群 / Cuntz環 / 群作用 / G-核の共役類 … More Except Principal Investigator 作用素環 / 接合積 / State / Entropy / Non-commutative dynamical system / Automorphism / エントロピー / 自由積 / 自己同型写像 / エルゴード変換 / 非可換力学系 / Operator Algebars / 群の作用 / Crossed product / Operator algebras / ideal boundary / Riemannian manifold / Busemann関数 / 理想境界 / Alexandrov空間 / Riemann多様体 / Bounded representation / Complete positive map C^ dynamical system / Relative entropy / Jones index / Functional analysis / 相対エントロピー / index / 完全有界写像 / 微分(作用素環における) / 有界表現 / C^x力学系 / 完全正写像 / 相みエートロピー / Jonesの指標 / 関数解析学 / Maximal abelian subalgebra / Relative Entropy / Amenable / 状態 / 群 / free product / Group / acoustoelastic coefficient / initial stress / Rayleigh wave / surface impedance tensor / crystallographic texture / reconstruction formula / impedance tomography / inverse boundary value problems / 再構成 / 非等方弾性体 / 弾性体方程式 / 導電方程式 / 逆問題 / Dirichlet to Neumann map / Strohの定式化 / 音弾性 / texture / 音弾性係数 / 残留応力 / Rayleigh波 / サーフェス・インピーダンス / 組織異方性 / 再構成公式 / インピーダンス・トモグラフィー / 境界値逆問題 / Free product / C^*-algebra / Liouville manifold / Liouville多様体 / image processing / wavelet analysis / time frequency analysis / filter / multiwavelet / microlocal analysis / 微分方程式ソルバー / 佐藤の超関数 / 古典的ハーディ空間 / 正規直交ウェーブレット / Matlab / ウェーブレット / Wavelet / 画像処理 / ウェーブレット解析 / 時間周波数解析 / フィルタ / マルチウェーブレット / 超局所解析 / chaos theory / p-hyponormal operator / Pfaffian / Dirac equation / Phase transition / Navier-Stokes equation / Hardy space / Singular integral / Jaynes-Cummingsモデル / Putnam不等式 / Turnbull等式 / ホロノミック系 / 相転移 / Navier-Stokes方程式 / Hardy空間 / D加群 / 量子アルゴリズム / 指数理論 / 非線型力学系 / 強一意接続定理 / 特異積分 / ハーディ空間 / cut locus / Busemann function / Alexandrov space / 調和写像 / 最小跡 / ガウス和 / アモルファススキ-ム / Qーpolynomial / Pーpolynomial / アソシエイションスキ-ム / 交叉図形 / グラフのスペクトラ / 距離正則グラフ / factor / 中心極限定理 / acyclic resolution / Association Schewe / インシデンス幾何 / 自己準同型写像 / 因子環 / 指数 / ガロア理論 / AFDー因子環(AFD factor) / 従順群(amenable group) / 指数型微分(indicial derivative) / 作用素値ウェイト(operator valued weight) / 条件付期待値(conditional expectation) / フォンノイマン環(von Neumann algebra) / エントロピ-(entropy) / 指数(index) Less

Entropy in noncommutative dynamical systems, structure of operator algebras and groups with amenable actions
- Principal Investigator
  
  CHODA Marie
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
The explicit computations of the modular obstruction for G-kernel on a certain AFD factorPrincipal Investigator
- Principal Investigator
  
  KATAYAMA Yoshikazu
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
Entropy on non-commutative dynamical systems and the structure of operator algebras
- Principal Investigator
  
  CHODA Marie
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
G-kernel of amenable discrete groups on AFD factors of type IIIPrincipal Investigator
- Principal Investigator
  
  KATAYAMA Yoshikazu
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
Reconstruction methods in inverse boundary value problems
- Principal Investigator
  
  TANUMA Kazumi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Gunma University
Geometry of Points at Infinity
- Principal Investigator
  
  SUGAHARA Kunio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka Kyoiku University
Entropy in the non-commutalrive dynamical systems and the structure of algebras
- Principal Investigator
  
  CHODA Marie
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
Comprehensive Study of Real Analysis and Functional Analysis
- Principal Investigator
  
  MIYACHI Akihiko
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Woman's Christian University
Microlocal filtering with multiwavelets
- Principal Investigator
  
  ASHINO Ryuichi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
Automorphisms on generalized Cuntz algebra and quasi free statePrincipal Investigator
- Principal Investigator
  
  KATAYAMA Yoshikazu
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
Compactifications of Riemannian manifolds and points at infinity
- Principal Investigator
  
  SUGAHARA Kunio
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka Kyoiku University
階数3のインシデンス幾何
- Principal Investigator
  
  吉荒聡
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka Kyoiku University
作用素環の構造と指数理論
- Principal Investigator
  
  CHODA Hisashi
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka Kyoiku University
代数的組合せ論とそれに関連する諸問題
- Principal Investigator
  
  伊藤達郎
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka Kyoiku University
部分環の指数とエントロピ-に関する研究
- Principal Investigator
  
  KAWAKAMI Satoshi
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara University of Education
Theory and applications of functional analysis
- Principal Investigator
  
  TAKENOUCHI Osamu
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University

All 2007 2005 2004 Other

All Journal Article

[Journal Article] Outer actions of a discrete amenable group on approximately finite dimensional factors. II2007
- Author(s)
  Yoshikazu Katayama
- Journal Title
  
  Math. Scand. 100
  
  Pages: 75-129
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Outer actions of a discrete amenable group on approximately finite dimensional factors. II2007
- Author(s)
  Yosikazu, Katayama, M. Takesaki
- Journal Title
  
  Math. Scand 100-1
  
  Pages: 75-129
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Classification Program - An Example-2005
- Author(s)
  片山良一
- Journal Title
  
  Proceeaings of the workshop on Operator Theory and Operator Algebras
  
  Pages: 75-84
- Data Source
  KAKENHI-PROJECT-17540193
[Journal Article] Outer actions of a discrete amenable groups on approximately finite dimensional factors I : General theory2004
- Author(s)
  Y.Katayama, M.Takesaki
- Journal Title
  
  Contemporary Mathematics Vol.365
  
  Pages: 181-237
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540205
[Journal Article] Outer actions of a countable discrete amenable group on AFD factors2004
- Author(s)
  Y.Katayama, M.Takesaki
- Journal Title
  
  Contemporary Mathematics 365
  
  Pages: 181-237
- Data Source
  KAKENHI-PROJECT-16540193
[Journal Article] Outer actions of a discrete amenable group on approximately finite Dimensional factors II, The_III_λ-Case, λ≠0
- Author(s)
  Y.Katayama
- Journal Title
  
  Math.Scand. To appear
- Data Source
  KAKENHI-PROJECT-16540193
[Journal Article] Outer actions of discrete amenable group on approximately finite dimensional factor II, The IIIλ-Case, λ≠0
- Author(s)
  Y.Katayama, M.Takesaki
- Journal Title
  
  Math.Scand. (To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540193
[Journal Article] Outer actions of discrete amenable group on approximately finite dimensional factor II, The III-λ-Cace, λ≠0
- Author(s)
  Y.Katayama, M.Takesaki
- Journal Title
  
  Math. Scand. (To appear in)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540193

1. FUJII Masatoshi (10030462)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. KAWAKAMI Satoshi (20161284)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. CHODA Hisashi (00030338)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. CHODA Marie (80030378)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. KOYAMA Akira (40116158)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. SUGAHARA Kunio (20093255)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. 高嶋恵三 (00137184)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. MACHIGASHIRA Yoshiroh (00253584)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. O'UCHI Motoo (70127885)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. YOKOYAMA Ryouzou (80124783)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. 伊藤達郎 (90015909)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. ITOH Jin-ichi (20193493)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. ASHINO Ryuichi (80249490)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. TANUMA Kazumi (60217156)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. NAKAI Eiichi (60259900)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. SADASUE Gaku (40324884)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. 菊池徹平 (50031589)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 神保敏弥 (80015560)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 北村和雄 (30030381)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 安井義和 (20030372)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 吉荒聡 (10230674)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 鈴木寛 (10135767)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 大山豪 (50034707)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. KAWAI Shigeo (30186043)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 竹鼻宏昭 (40116166)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. MIYACHI Akihiko (60107696)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. WAKAYAMA Masato (40201149)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. CHO Muneo (10091620)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. KOBAYASI Kazuo (30139589)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. OHYA Masanori (90112896)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. OKAJI Takashi (20160426)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 田島慎一 (70155076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. NAGASE Michihiro (70034733)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. INNAMI Nobuhiro (20160145)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. SAITOH Saburoh (10110397)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. NAKAMURA Gen (50118535)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. AMANO Kazuo (90137795)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. IKEHATA Masaru (90202910)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. OKAYASU Rui (70362746)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. TAKENOUCHI Osamu (20029375)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. NAGISA Masaru (50189172)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. HAYAKAWA Kantaro (10028201)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. SHIRAHATA Shingo (10037294)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. KURISU Tadashi (00029159)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
45. SAKAGUCHI Minoru (70029388)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
46. 丘本正 (80029389)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KATAYAMA Yoshikazu 片山 良一

片山 良一 タカヤマ リョウイチ

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The explicit computations of the modular obstruction for G-kernel on a certain AFD factorPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

G-kernel of amenable discrete groups on AFD factors of type IIIPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Automorphisms on generalized Cuntz algebra and quasi free statePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

KATAYAMA Yoshikazu 片山良一

片山良一タカヤマリョウイチ