Perturbations of KMS States and Noncommutative Lp-spaces

Ricardo Correa da Silva

doi:10.1063/1.5099066

paper

Perturbations of KMS States and Noncommutative Lp-spaces

arXiv:1811.04514 · doi:10.1063/1.5099066

Abstract

We extend the theory of perturbations of KMS states to a class of unbounded perturbations using noncommutative $L_{p}$ -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.