Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold

Details Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold

1997-06-20

arxiv.org/abs/funct-an/9706008v3

Rev.Math.Phys. Vol.12, No.12(2000)1669-1688.

Mathematics

Operator Algebras

16 pages, LaTeX

Scientific paper

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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