On the entropy for actions of some class of groups and its calculation

Communicated by V.Ya. Golodets

Автор(и)

  • V.M. Oleksenko Mathematics Division, B. Verkin Institute for Low Temperature Physics and Engineering National Academy of Sciences of Ukraine 47 Lenin Ave., Kharkov, 310164, Ukraine47 Lenin Ave., Kharkov, 310164, Ukraine

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Анотація

The dynamical entropy for actions of ÅZk; k = 2 ; 3 ; : : :; 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 dy- namical entropy of the Bogoliubov action of ÅZk; k = 2 ; 3 ; : : :;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.

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Опубліковано

2006-03-25

Як цитувати

(1)
Oleksenko, V. On the Entropy for Actions of Some Class of Groups and Its Calculation: Communicated by V.Ya. Golodets. J. Math. Phys. Anal. Geom. 2006, 7, 442-457.

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