Entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to quasi-free states

Abstract

We compute the dynamical entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to arbitrary gauge-invariant quasi-free states. This completes the research started by Stormer and Voiculescu, and continued in works of Narnhofer-Thirring and Park-Shin.

arXiv commentLaTeX2e, 20 pages

Cited by in corpus (4)

• Ergodic theory and maximal abelian subalgebras of the hyperfinite factor
• Entropy of automorphisms of II_1-factors arising from the dynamical systems theory
• On the K-property of quantized Arnold cat maps
• M$\ddot{o}$bius Disjointness for Exact C${}^{\ast }$ Algebras