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Kontsevich's formality theorem states that the differential graded Liealgebra of multidifferential operators on a manifold M isL-infinity-quasi-isomorphic to its cohomology. The construction of theL-infinity map is given in terms of integrals of differential forms onconfiguration spaces of points in the upper half-plane. Here we considerconfiguration spaces of points in the disk and work equivariantly with respectto the rotation group. This leads to considering the differential graded Liealgebra of multivector fields endowed with a divergence operator. In the caseof R^d with standard volume form, we obtain an L-infinity morphism of modulesover this differential graded Lie algebra from cyclic chains of the algebra offunctions to multivector fields. As a first application we give a constructionof traces on algebras of functions with star-products associated withunimodular Poisson structures. The construction is based on theBatalin--Vilkovisky quantization of the Poisson sigma model on the disk and inparticular on the treatment of its zero modes.

Effective Batalin--Vilkovisky theories, equivariant configuration spaces and cyclic chains