Structure and representation of unbounded operator algebras

2011 Fiscal Year Final Research Report

• Project/Area Number: 20540222
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Global analysis
• Research Institution: Fukuoka University
• Principal Investigator: INOUE Atsushi 福岡大学, 理学部, 教授 (50078557)
• Co-Investigator(Kenkyū-buntansha): KUROSE Hideki 福岡大学, 理学部, 教授 (00161795) ; OTA Shoichi 九州大学, 大学院・芸術工学研究科, 教授 (70107176) ; OGI Hidekazu 福岡工業大学, 工学部, 教授 (30248471) ; TAKAKURA Mayumi 福岡大学, 理学部, 助教 (40268975)
• Project Period (FY): 2008 – 2011
• Keywords: 非有界-表現 / C*-代数 / 非可換微分構造 / O-代数 / 部分O*-代数

Research Abstract

Inoue and M. Fragoulopoulou(Athens Univ.) studied"Well-behaved-representations of tensor-algebras", Inoue, F. Bagarello(Palermo Univ.), M. Fragoulopoulou and C. Trapani(Palermo Univ.) studied"the structure of quasi C-algebras", Inoue and S. J. Bhatt(Patel Sadar Univ.), Ogi studied"the noncommutative differential structure of C-algebras"and Inoue, M. Fragoulopoulou and and K. D. Kuersten(Leipzig Univ.) proceeded the study of"crossed products of unbounded operator algebras".

Research Products

• [Journal Article] Differential structures in C*-algebras (2011)
  • Author(s): S-J. Bhatt, A. Inoue and H. Ogi
  • Journal Title: J. Operator Theory Volume: 66巻 Pages: 301-334
  • Peer Reviewed
• [Journal Article] Old and new results on Allan's GB*-algebras (2010)
  • Author(s): M. Fragoulopoulou, A. Inoue and K. D. Kursten
  • Journal Title: Banach Center Publications Volume: 91巻 Pages: 169-178
  • Peer Reviewed
• [Journal Article] Locally convex quasi C*-normed algebras (2010)
  • Author(s): F. Bagarello, M. Fragoulopoulou, A. Inoue and C. Trapani
  • Journal Title: J. Math. Anal. Appl Volume: 366巻 Pages: 593-606
  • Peer Reviewed
• [Journal Article] Bicommutants of reduced unbounded operator algebras (2009)
  • Author(s): F. Bagarello, A. Inoue and C. Trapani
  • Journal Title: Proc. Amer. Math. Soc Volume: 137巻 Pages: 3709-3716
  • Peer Reviewed
• [Journal Article] Representations and derivations of quasi-algebras induced by local modifications of states (2009)
  • Author(s): F. Bagarello, A. Inoue and C. Trapani
  • Journal Title: J. Math. Anal. Appl Volume: 356巻 Pages: 615-623
  • Peer Reviewed
• [Journal Article] Limit algebras of differential forms in non-commutative geometry (2008)
  • Author(s): S. J. Bhatt and A. Inoue
  • Journal Title: Proc. Indian Acad. Sci. Math. Sci Volume: 118巻 Pages: 425-441
  • Peer Reviewed
• [Journal Article] Structure of locally convex quasi C-algebras (2008)
  • Author(s): F. Bagarello, M. Fragoulopoulou, A. Inoue and C. Trapani
  • Journal Title: J. Math. Soc. Japan Volume: 60巻 Pages: 511-549
  • Peer Reviewed
• [Journal Article] Weak commutation relations of unbounded operators and applications
  • Author(s): F. Bagarello, A. Inoue and C. Trapani
  • Journal Title: J. Mathematical Physics
  • Peer Reviewed
• [Journal Article] Tensor products of unbounded operator algebras
  • Author(s): M. Fragoulopoulou, A. Inoue and M. Weigt
  • Journal Title: Rockey Moun J. Math Volume: (to appear)
  • Peer Reviewed