Deformation quantization with traces

Details Deformation quantization with traces Deformation quantization with traces

2000-02-08

arxiv.org/abs/math/0002057v2

Lett. Math. Phys. 53 (2000), 75-86

Mathematics

Quantum Algebra

14 pages, 2 figures. Discussion of general volume forms corrected

Scientific paper

10.1023/A:1026577414320

In the present paper we prove a statement closely related to the cyclic formality conjecture. In particular, we prove that for a divergence-free Poisson bivector field on R^d, the Kontsevich star-product with the harmonic angle function is cyclic. We also prove a globalization of this theorem in the case of arbitrary Poisson manifolds and prove a generalization of the Connes-Flato-Sternheimer conjecture on closed star-products in the Poisson case.

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