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Traces for star products on symplectic manifolds

Simone Gutt·John Rawnsley
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Abstract

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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Simone Gutt, John Rawnsley. 2001-05-11. Traces for star products on symplectic manifolds. https://doi.org/10.1016/s0393-0440(01)00053-5

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