Some classifiable groupoid C*-algebras with prescribed K-theory

Given a simple, acyclic dimension group $G_0$ and countable, torsion-free, abelian group $G_1$, we construct a minimal, amenable, '{e}tale equivalence relation $R$ on a Cantor set whose associated groupoid $C^{\ast }$-algebra, $C^{\ast }(R)$, is tracially AF, and hence classifiable in the Elliott classification scheme for simple, amenable, separable $C^{\ast }$-algebras, and with $K_{\ast }(C^{\ast }(R))\cong (G_0,G_1)$.