Perturbations of KMS states and noncommutative Lp-spaces

Abstract

We extend the theory of perturbations of KMS states to a class of unbounded perturbations using noncommutative Lp-spaces. We also prove certain stability of the domain of the modular operator associated with a ∥·∥p-continuous state. This allows us to define an analytic multiple-time KMS condition and to obtain its analyticity together with some bounds to its norm.We extend the theory of perturbations of KMS states to a class of unbounded perturbations using noncommutative Lp-spaces. We also prove certain stability of the domain of the modular operator associated with a ∥·∥p-continuous state. This allows us to define an analytic multiple-time KMS condition and to obtain its analyticity together with some bounds to its norm.