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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{JMAG_2000_7_4_a4,
     author = {V. M. Oleksenko},
     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},
     pages = {442--457},
     year = {2000},
     volume = {7},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2000_7_4_a4/}
}
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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/