Sergey I. Bezuglyi, Valentin Ya. Golodets
Dynamical Entropy for Z$^n$-actions and Bogoliubov Automorphisms of the CAR-algebra
Preprint series: ESI preprints

MSC:

46L40 Automorphisms

46L55 Noncommutative dynamical systems, See also {28Dxx, 54H20,

Abstract: The notion of dynamical entropy for $Z^n$-actions by
automorphisms of $C^*$-algebras is studied. These results
are applied to Bogoliubov actions of $Z^n$ on the CAR-algebra. It is
shown that the dynamical entropy of $Z^n$-Bogoliubov actions is
computed by a formula analogous to that found by St\"ormer and
Voiculescu in the case $n=1$, and also it is proved that
singular parts of these actions give zero contribution to the entropy.

Keywords: dynamical entropy, automorphisms of C*-algebras, CAR-algebra, Bogoliubov action
Notes: second version