Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold

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dc.creatorKawamura, Katsunori
dc.date1997-06-20
dc.date1997-10-21
dc.date.accessioned2026-07-07T08:59:18Z
dc.date.available2026-07-07T08:59:18Z
dc.descriptionFor 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.
dc.description16 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/funct-an/9706008
dc.identifierhttp://arxiv.org/abs/funct-an/9706008
dc.identifierRev.Math.Phys. Vol.12, No.12(2000)1669-1688.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147664
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.titleInfinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold
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