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.
Noncommutative Lp-Spaces and Perturbations of KMS States
The Hölder Inequality for KMS States
Continuity of KMS States for Quantum Fields on Manifolds
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