R. Alicki, J. Andries, M. Fannes, P. Tuyls
An Algebraic approach to the Kolmogorov-Sinai entropy.
(46K, TeX)

ABSTRACT.  We revisit the notion of Kolmogorov-Sinai entropy for classical dynamical 
systems in terms of an algebraic formalism. This is the starting point for 
defining the entropy for general non-commutative systems. Hereby typical 
quantum tools are introduced in the statistical description of classical 
dynamical systems. We illustrate the power of this techniques by providing 
a simple, self-contained proof of the entropy formula for general 
automorphisms of $n$-dimensional tori.