Hochschild cohomology of the algebra of conformal endomorphisms

We prove that all Hochschild cohomology groups of the associative conformal algebra of conformal endomorphisms ${\mathrm{C}\mathrm{e}\mathrm{n}\mathrm{d}}_k$ with coefficients in an arbitrary conformal bimodule $M$ are trivial starting from the dimension 2, i.e., $H^n({\mathrm{C}\mathrm{e}\mathrm{n}\mathrm{d}}_k,M)=0$ for $n\ge 2$.