- 03-94 J. Derezinski, V. Jaksic, C-A. Pillet
- Perturbation theory of $W^*$-dynamics, Liouvilleans and KMS-states
Mar 5, 03
(auto. generated ps),
of related papers
Abstract. Given a $W^*$-algebra $\fM$ with a $W^*$-dynamics $\tau$,
we prove the existence of the perturbed
$W^*$-dynamics for a large class of unbounded perturbations.
We compute its Liouvillean. If $\tau$ has a $\beta$-KMS state,
and the perturbation satisfies some mild assumptions related to
the Golden-Thompson inequality, we prove the existence of a
$\beta$-KMS state for the perturbed $W^*$-dynamics.
These results extend the well known constructions due to
Araki valid for bounded perturbations.