A note on the approximation entropies of certain shifts
Summary: Voiculescu has proposed several routes to quantum entropies. Among them, the notion of the ``approximation entropies'' is a group of four entropies with similar definitions, based on two kinds of approximations. The \(C^*\)-cases are extensions of the classical topological entropy and the \(W^*\)-cases are those of the measure-theoretic one. In this paper, we will focus on the approximation entropies and investigate the entropies of Powers' binary shifts with some condition and the Jones shifts.
scientific article; zbMATH DE number 1117527