Geodesic
On the entropy for actions of some class of groups and its calculation
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 4, pp. 442-457 
V. M. Oleksenko. On the entropy for actions of some class of groups and its calculation. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 4, pp. 442-457. http://geodesic.mathdoc.fr/item/JMAG_2000_7_4_a4/
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     title = {On the entropy for actions of some class of groups and its calculation},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2000_7_4_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The dynamical entropy for actions of $\bigoplus Z_k$, $k=2,3,\dots$, on $C^*$-algebras which is studied in this work, is a generalization of Connes–Narnhofer–Thirring entropy for actions of the torsion groups on $C^*$-algebras. The properties of such entropy are investigated and a formula for quantum dynamical entropy of the Bogoliubov action of $\bigoplus Z_k$, $k=2,3,\dots$, on the CAR-algebra is obtained. It is proved that the part of action corresponding to the singular spectrum gives zero contribution to the entropy.