Dynamical entropy for Bogoliubov actions of Z/nZ $\oplus$Z/nZ $\oplus$ ... on CAR-algebra

Анотація

The notion of dynamical entropy for actions of torsion Abelian groups $Z/nZ\oplus Z/nZ\oplus \ldots ,$ $n\ge 2,$ by automorphisms of $C^{*}$-algebras is considered. The properties of this entropy are studied. These results are applied to Bogoliubov actions of those groups on the CAR-algebra. It is shown that the entropy of Bogoliubov actions corresponding to the singular spectrum is equal to zero.