Extremal invariant states


Ruelle, David



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.




Citer ce document

RUELLE et ROBINSON, “Extremal invariant states,” Archives de l'IHES, consulté le 17 juin 2024, https://omeka.ihes.fr/document/P_66_01.pdf.