Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold

Katsunori Kawamura

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arXiv · funct-an/9706008

Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold

Katsunori Kawamura

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Abstract

For an infinitesimal symplectic action of a Lie algebra ${\goth g}$ on a symplectic manifold, we construct an infinitesimal crossed product of Hamiltonian vector fields and Lie algebra ${\goth g}$. We obtain its second crossed product in case ${\goth g}=R$ and show an infinitesimal version for a theorem type of Takesaki duality.

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Katsunori Kawamura. 1997-10-21. Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold. https://arxiv.org/abs/funct-an/9706008

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