Smooth *-Algebras

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概要

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• Looking for the universal covering of the smooth noncommutative torus leads to a curve of associative multiplications on the space O'_M(R^<2n>)≅O_C(R^<2n>)of L. Schwartz which is smooth in the deformation parameter h^-. The Taylor expansion in h^- leads to the formal Moyal star product. The noncommutative torus and this version of the Heisenberg plane are examples of smooth *-algebras: smooth in the sense of having many derivations. A tentative definition of this concept is given.

• 理論物理学刊行会の論文
• 2002-03-29

著者

• 前田 吉昭

  慶應義塾大学理工学部

• Michor Peter

  Institut Fur Mathematik Universitat Wien:erwin Schrodinger International Institute Of Mathematical P

• MAEDA Yoshiaki

  Department of Mathematics, Faculty of Science and Technology, Keio University

• Maeda Yoshiaki

  Department Of Administrative Nutrition Of Faculty Of Health And Nutrition Tokyo Seiei College

• DUBOIS-VIOLETTE Michel

  Laboratoire de Physique Theorique et Hautes Energies, Universite Paris XI

• KRIEGL Andreas

  Institut fur Mathematik, Universitat Wien

• Kriegl Andreas

  Institut Fur Mathematik Universitat Wien

• Dubois-violette Michel

  Laboratoire De Physique Theorique Et Hautes Energies Universite Paris Xi

• MICHOR Peter

  Institut fur Mathematik, Universitat Wien:Erwin Schrodinger International Institute of Mathematical Physics

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