| Co-Investigator(Kenkyū-buntansha) |
KUROSE Hideki Fukuoka University, Fac. Sci., Professor (00161795)
OTA Shoichi Kyushu Univ., Graduate School of Design, Professor (70107176)
OGI Hidekazu Fukuoka Institute of Tech. Univ., Fac. Engine, Associate Professor (30248471)
高倉 真由美 福岡大学, 理学部, 助手 (40268975)
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| Budget Amount *help |
¥1,940,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
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| Research Abstract |
81. A. Inoue, S.J. Bhatt and M Fragoulopoulou studied well-behaved representations of (locally convex) *-algebras. In particular, Inoue and Fragoulopoulou studied well-behaved *representations of (locally convex) *-algebras. Inoue, S. Ota and H.Kurose applied them to quantum groups.
2. Inoue, F.Bagarello, Fragoulopoulou, K.D. Kursten and C. Trapani studied the algebraic structure and representation of locally convex *-algebra A[τ] containing C*-algebra A. In particular, we defined locally convex quasi C*-algebras which are a generalization of C*-algebras to locally convex quasi *-algebras, and proceeded the studies of their structures and representations.
3. Inoue and Bhatt studied noncommutative differential structure in C*-algebras. We investigated the spectral invariance, the C^∞-functional calculus of differential algebras introduced by Blackadar and Cuntz. Furthermore, we studied smooth subalgebras in C*-algebras and C*-structure.
4. Inoue, H.Ogi and M. Takakura considered a generalization of conditional expectations for von Neumann algebras to those for O*-algebras. We defined and investigated the notions of weak conditional expectations and unbounded conditional expectations of O*-algebras. In particular, we investigated under which conditions an unbounded conditional expectation is a conditional expectation.
5. Inoue, Bagarello, Trapani studied completely positive maps of O*-algebras and derivations of O*-algebras.
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