$\beta$-Boundedness, Semipassivity, and the KMS-Condition
Bernd Kuckert
TL;DR
This paper generalizes and simplifies a recent proof linking the KMS-condition with complete -boundedness, extending it to a covariant setting and providing a broader understanding of the mathematical structure of quantum statistical mechanics.
Contribution
It offers a shortcut and generalization of Guido and Longo's result, establishing a covariant version of the equivalence between the KMS-condition and complete -boundedness.
Findings
Established a covariant version of the theorem.
Provided a simplified proof of the equivalence.
Extended the mathematical framework of quantum statistical mechanics.
Abstract
The proof of a recent result by Guido and Longo establishing the equivalence of the KMS-condition with complete -boundedness is shortcut and generalized in such a way that a covariant version of the theorem is obtained.
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