Traces for star products on symplectic manifolds

Details Traces for star products on symplectic manifolds Traces for star products on symplectic manifolds

2001-05-11

arxiv.org/abs/math/0105089v1

Mathematics

Quantum Algebra

Scientific paper

10.1016/S0393-0440(01)00053-5

We give a direct elementary proof of the existence of traces for arbitrary
star products on a symplectic manifold. We follow the approach we used in
\cite{refs:GuttRaw}, solving first the local problem. A normalisation
introduced by Karabegov \cite{refs:Karabegov} makes the local solutions unique
and allows them to be pieced together to solve the global problem.

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