Infinitesimal Takesaki Duality of Hamiltonian Vector Fields on a Symplectic Manifold
Abstract
For an infinitesimal symplectic action of a Lie algebra g on a symplectic manifold, we construct an infinitesimal crossed product of Hamiltonian vector fields and g. We obtain its second crossed product in the case where g=R and obtain an infinitesimal version of a Takesaki duality type theorem.
 Publication:

Reviews in Mathematical Physics
 Pub Date:
 2000
 DOI:
 10.1142/S0129055X00000460
 Bibcode:
 2000RvMaP..12.1669K