In this talk, I will discuss some uniform approximability results for maps between Roe algebras (i.e., "coarse-like properties"). I will then talk about applications of these uniform approximability results to isomorphisms between Roe algebras. In particular, given a uniformly locally finite metric space $X$, we obtain that the canonical map from the group of coarse equivalences of $X$ modulo the relation of closeness to the group of outer automorphisms of $\mathrm{C}^*(X)$ is surjective if $X$ has property A. This is a joint work with Alessandro Vignati.