Traces for star products on symplectic manifolds

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.

Cited by in corpus (5)

• States and representations in deformation quantization
• $k$-Minkowski-deformation of $U(1)$ gauge theory
• Gauge Theory of the Star Product
• Traces for star products on the dual of a Lie algebra
• Quantum moment map and obstructions to the existence of closed Fedosov star products