2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146783In 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.14 pages, 2 figures. Discussion of general volume forms correctedQuantum AlgebraMathematical PhysicsDifferential Geometry53D55; 16E45text