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Trace Functionals of the Kontsevich Quantization

Alexander Golubev
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Abstract

We generalize the notion of trace to the Kontsevich quantization algebra and show that for all Poisson manifolds representable by quotients of a symplectic manifold by a Hamiltonian action of a nilpotent Lie group, the trace is given by integration with respect to a unimodular volume form.

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Alexander Golubev. 2000-01-14. Trace Functionals of the Kontsevich Quantization. https://arxiv.org/abs/math/0001081

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