On Hochschild cohomology of uniform Roe algebras with coefficients in uniform Roe bimodules (Q2144410)

Uniform Roe algebras are useful tools in coarse geometry. They were introduced by \textit{J. Roe} [Mem. Am. Math. Soc. 497, 90 p. (1993; Zbl 0780.58043)]. \textit{M. Lorentz} and \textit{R. Willett} [Rocky Mt. J. Math. 50, No.~5, 1747--1758 (2020; Zbl 1456.46057)] proved that all bounded derivations of the uniform Roe algebras of metric spaces of bounded geometry are inner. The author of the present paper calculates the space of outer derivations of the uniform Roe algebras with coefficients in uniform Roe bimodules related to various metrics on the two copies of the given space.