Two conjectures about homology groups, K-groups and topological full groups of minimal Bale groupoids on Cantor sets are formulated. We verify these conjectures for many examples of etale groupoids including products of etale groupoids arising from one-sided shifts of finite type. Furthermore, we completely determine when these product groupoids are mutually isomorphic. Also, the abelianization of their topological full groups is computed. They are viewed as generalisations of the higher dimensional Thompson groups. (C) 2016 Elsevier Inc. All rights reserved.