Abstract
For an infinite dynamical system, idealized as a von Neumann algebra acted upon by a time translation implemented by a HamiltonianH, we characterize equilibrium states (KMS) by stationarity, a Bogoliubov-type inequality and continuous spectrum ofH, except at zero.
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Communicated by E. Lieb
Aangesteld Navorser NFWO, Belgium
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Fannes, M., Verbeure, A. Correlation inequalities and equilibrium states. Commun.Math. Phys. 55, 125–131 (1977). https://doi.org/10.1007/BF01626515
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DOI: https://doi.org/10.1007/BF01626515