Some examples of factor groupoids

Abstract: We examine two classes of examples of Hausdorff \'etale factor groupoids; one comes from taking a quotient space of the unit space of an AF-groupoid, and the other comes from certain nonhomogeneous extensions of Cantor minimal systems considered by Robin Deeley, Ian Putnam, and Karen Strung. The reduced C$^*$-algebras of the factor groupoids are classifiable in the Elliott scheme, and we describe their $K$-theory and traces.