A minimal 0–1 subshift with noncompact set of ergodic measures

Summary By a minimal 0–1 subshift we mean a pair (X, S), where S denotes the left shift on C={0, 1}^z and X is a minimal compact S-invariant subset of C. Developing some of the methods of Williams 2] of obtaining not uniquely ergodic minimal subshifts we construct such a subshift, for which the set of all ergodic measures is noncompact for the weak^* topology. In other words, the Choquet simplex of all invariant measures of the subshift is not a Bauer simplex.