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.
Cite this article
Kiichi Nishiuchi, A Note on the Approximation Entropies of Certain Shifts. Publ. Res. Inst. Math. Sci. 33 (1997), no. 3, pp. 331–339DOI 10.2977/PRIMS/1195145318