Geodesic
Dynamical entropy for Bogoliubov actions of $Z/n\oplus Z/n\oplus\cdots$ on $\mathrm{CAR}$-algebra
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 3, pp. 348-359 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{JMAG_1997_4_3_a6,
     author = {V. M. Oleksenko},
     title = {Dynamical entropy for {Bogoliubov} actions of $Z/n\oplus Z/n\oplus\cdots$ on $\mathrm{CAR}$-algebra},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {348--359},
     year = {1997},
     volume = {4},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a6/}
}
TY  - JOUR
AU  - V. M. Oleksenko
TI  - Dynamical entropy for Bogoliubov actions of $Z/n\oplus Z/n\oplus\cdots$ on $\mathrm{CAR}$-algebra
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 1997
SP  - 348
EP  - 359
VL  - 4
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a6/
LA  - en
ID  - JMAG_1997_4_3_a6
ER  - 
%0 Journal Article
%A V. M. Oleksenko
%T Dynamical entropy for Bogoliubov actions of $Z/n\oplus Z/n\oplus\cdots$ on $\mathrm{CAR}$-algebra
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1997
%P 348-359
%V 4
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a6/
%G en
%F JMAG_1997_4_3_a6
V. M. Oleksenko. Dynamical entropy for Bogoliubov actions of $Z/n\oplus Z/n\oplus\cdots$ on $\mathrm{CAR}$-algebra. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 3, pp. 348-359. http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a6/