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It was shown recently by M. Lorentz and R. Willett that all boundedderivations of the uniform Roe algebras of metric spaces of bounded geometryare inner. Here we calculate the space of outer derivations of the uniform Roealgebras with coefficients in uniform Roe bimodules related to various metricson the two copies of the given space. We also give some results on the higherHochschild cohomology with coefficients in uniform Roe bimodules.

On Hochschild homology of uniform Roe algebras with coefficients in uniform Roe bimodules