 0394 J. Derezinski, V. Jaksic, CA. Pillet
 Perturbation theory of $W^*$dynamics, Liouvilleans and KMSstates
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Mar 5, 03

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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 GoldenThompson 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.
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