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.

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