Dynamical entropy of a non-commutative version of the phase doubling
Volume 43 / 1998
Banach Center Publications 43 (1998), 31-40
DOI: 10.4064/-43-1-31-40
Abstract
A quantum dynamical system, mimicking the classical phase doubling map $z ↦ z^2$ on the unit circle, is formulated and its ergodic properties are studied. We prove that the quantum dynamical entropy equals the classical value log2 by using compact perturbations of the identity as operational partitions of unity.
