@article{RCP25_1977__24__88_0,
author = {Kastler, D.},
title = {Fondements de la m\'ecanique statistique de l'\'equilibre},
journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
volume = {24},
year = {1977},
pages = {88-144},
language = {fr},
url = {http://dml.mathdoc.fr/item/RCP25_1977__24__88_0}
}
Kastler, D. Fondements de la mécanique statistique de l'équilibre. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 24 (1977) pp. 88-144. http://gdmltest.u-ga.fr/item/RCP25_1977__24__88_0/
[1] , , Stability and Equilibrium States Commun. math.Phys. 38, 173 (1974). | MR 403516
[1a] , Relaxing the Clustering Condition in the Derivation of the KMS Property. Commun. math. Phys. 46,. 37 (1976) | MR 405123 | Zbl 0315.46052
[2] , , , Extension of KMS States and Chemical Potential. ZIF Preprint, Bielefeld, à paraître dans Commun.math.Phys. | MR 443679
[3] Equilibrium States of Matter and Operator Algebras. Marseille preprint - à paraître dans Symposia Mathematica - (Actes des Colloques de l'Istituto di Alta Matemati ca, Rome). | MR 459455 | Zbl 0366.46049
[4] , Symmetry and Equilibrium States. RIMS Preprint, Kyoto. | MR 446263 | Zbl 0341.46043
[5] Asymptotic Ratio Set of von Neumann Algebras Generated by Temperature States in Statistical Mechanics. ZIF Preprint, Bielefeld. | MR 468970 | Zbl 0385.46039
[6] , , On the Equilibrium States in Quantum Statistical Mechanics. Commun. math. Phys. 5, 215 (1967). | MR 219283 | Zbl 0171.47102
[7] J. Physic. Soc. Japan, 12, 570 (1957). | MR 98482
[8] , Phys. Rev., 115 , 1342 (1959) | MR 109702 | Zbl 0091.22906
[9] Tomita's Theory of modular Hilbert Algebras and its Applications. Springer Lecture Notes in Math. n° 128 (1970). | MR 270168 | Zbl 0193.42502
[10] , , Fields, Observables and Gauge Transformations I and II. Commun. math. Phys. 13, 1 (1969) et 15, 173 (1969). | MR 258394 | Zbl 0186.58205
[11] , , Local Observables and Particle Statistics I. Commun. math. Phys. 15 , 173 (1969) | MR 260294 | Zbl 0186.58205
, , Local Observables and Particle Statistics II. Commun. math. Phys. 23 , 199 (1971). | MR 297259
[12] Cross Products of von Neumann Algebras by Group Duals Marseille prpprint - à paraître dans Symposia Mathematica - (Actes des Colloques de l'Istituto di Alta Matematica, Rome). | Zbl 0441.46053
[13] Expansional in Banach Algebras. Ann. Sci. Ecole Norm. Sup. 6, 1 (1973). | Numdam | MR 435842 | Zbl 0257.46054
[14] Relative Hamiltonian for faithful Normal States of a von Neumann Algebra. Pub. RIMS Kyoto University 9, 165 (1973). | MR 342080 | Zbl 0273.46054
[15] Return to Equilibrium. Commun. math. Phys. 31, 171 (1973). | MR 332078 | Zbl 0257.46091
[16] Une classificacion des facteurs de type III. Ann. Sci. Ecole Norm. Sup. 6, 133 (1973). | Numdam | MR 341115 | Zbl 0274.46050
[16a] The Tomita-Takesaki Theory and classification of Type III Factors C* in C*-Algebras and their Applications to Statistical Mechanics and Quantum Field Theory - Societa Italiana di Fisica, North Holland 1976. | MR 633775 | Zbl 0414.46042
[17] , Energy Spectrum of extremal invariant States Pennsylvania State University Preprint | MR 493375 | Zbl 0373.46075
[18] , , , Central Decompositions of Invariant States. Commun. math. Phys. 27 , 195 (1972). | MR 432108 | Zbl 0239.46069
[19] , Abstract Harmonic Analysis. Springer | Zbl 0115.10603
[20] , States and Automorphism Groups of Operator Algebras Cotmmun. Math. Phys. 19, 141 (1970). | MR 270167 | Zbl 0206.13001
[21] Spontaneously broken Gauge Symmetries and Superselection Rules School of Mathematical Physics Camerino (Italy) October 1974 Marseille Preprint 74/P665
[22] Private communication