Vanishing of the Kontsevich integrals of the wheels

We prove that the Kontsevich integrals (in the sense of the formality theor em) of all even wheels are equal to zero. These integrals appear in the app roach to the Duflo formula via the formality theorem. The result means that for any finite-dimensional Lie algebra g, and for invariant polynomials f, g is an element of [S(g)](g) one has f . g = f * g, where * is the Kontsev ich star product, corresponding to the Kirillov-Poisson structure on g*. We deduce this theorem form the result contained in math.QA/0010321 on the de formation quantization with traces.