JournalsprimsVol. 33 , No. 3DOI 10.2977/prims/1195145318

A Note on the Approximation Entropies of Certain Shifts

  • Kiichi Nishiuchi

    University of Tokyo, Japan
A Note on the Approximation Entropies of Certain Shifts cover

Abstract

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.