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