Invariant measures for actions of congruent monotileable amenable groups
Invariant measures for actions of congruent monotileable amenable groups
In this paper we show that for every congruent monotileable amenable group G and for every metrizable Choquet simplex K , there exists a minimal G -subshift, which is free on a full measure set, whose set of invariant probability measures is affine homeomorphic to K . If the group …