Dynamical entropy for Bogoliubov actions of $Z/n\oplus Z/n\oplus\cdots$ on $\mathrm{CAR}$-algebra

The notion of dynamical entropy for actions of torsion Abelian groups $Z/n\oplus Z/n\oplus\cdots$, $n\ge2$, 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 $\mathrm{CAR}$-algebra. It is shown that the entropy of Bogoliubov actions corresponding to the singular spectrum is equal to zero.