Extremal invariant states
RUELLE
1966
Abstract : A number of results are derived which are pertinent to the description of physical systems by states on C*-algebras invariants under a symmetry group. In particular an integral decomposition relevant to the study of lower symmetry is obtained which is occur in equilibrium statistical mechanics as existence of crystals, ferromagnetic states, etc... A characterization is given of strongly clustering euclidean invariant states, and it is shown that they cannot be decomposed into states of lower symmetry.
INVARIANTS
P/66/01
©IHES
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RUELLE et ROBINSON, “Extremal invariant states,” Archives de l'IHES, consulté le 11 octobre 2024, https://omeka.ihes.fr/document/P_66_01.pdf.