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We prove the formality theorem for the differential graded Lie algebra module of Hochschild chains for the algebra of endomorphisms of a smooth vector bundle. We discuss a possible application of this result to a version of the algebraic index theorem for Poisson manifolds.doi:10.4310/mrl.2007.v14.n5.a4 fatcat:3bxfev5gerf37k5edo3yhli3sa