Journal article
Dynamical entropy for Bogoliubov actions of free abelian groups on the CAR-algebra
Ergodic theory and dynamical systems, Vol.17(4), pp.757-782
08/1997
DOI: 10.1017/S0143385797085027
Abstract
The notion of
dynamical entropy for actions of a countable free abelian group $G$ by
automorphisms of $C^*$-algebras is studied. These results are applied to
Bogoliubov actions of $G$ on the CAR-algebra. It is shown that the dynamical
entropy of Bogoliubov actions is computed by a formula analogous to that
found by Størmer and Voiculescu in the case $G={\bf Z}$, and also it is
proved that the part of the action corresponding to a singular spectrum gives
zero
contribution to the entropy. The case of an infinite number of generators has
some essential differences and requires new arguments.
Details
- Title: Subtitle
- Dynamical entropy for Bogoliubov actions of free abelian groups on the CAR-algebra
- Creators
- SERGEY I Bezuglyi - SchrodingerVALENTIN YA Golodets - Schrodinger
- Resource Type
- Journal article
- Publication Details
- Ergodic theory and dynamical systems, Vol.17(4), pp.757-782
- Publisher
- Cambridge University Press
- DOI
- 10.1017/S0143385797085027
- ISSN
- 0143-3857
- eISSN
- 1469-4417
- Number of pages
- 26
- Language
- English
- Date published
- 08/1997
- Academic Unit
- Mathematics
- Record Identifier
- 9984241056602771
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