Fondements de la mécanique statistique de l'équilibre

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1. [1] R. Haag, D. Kastler, E. Trych-PohlmeyerStability and Equilibrium StatesCommun. math.Phys.38, 173 (1974). MR403516
2. [1a] O. Bratteli, C. KastlerRelaxing the Clustering Condition in the Derivation of the KMS Property. Commun. math. Phys.46,. 37 (1976) Zbl0315.46052MR405123
3. [2] H. Araki, R. Haag, D. Kastler, M. TakesakiExtension of KMS States and Chemical Potential. ZIF Preprint, Bielefeld, à paraître dans Commun.math.Phys. MR443679
4. [3] D. KastlerEquilibrium States of Matter and Operator Algebras. Marseille preprint - à paraître dans Symposia Mathematica - (Actes des Colloques de l'Istituto di Alta Matemati ca, Rome). Zbl0366.46049MR459455
5. [4] H. Araki, A. KishimotoSymmetry and Equilibrium States. RIMS Preprint, Kyoto. Zbl0341.46043MR446263
6. [5] D. TestardAsymptotic Ratio Set of von Neumann Algebras Generated by Temperature States in Statistical Mechanics. ZIF Preprint, Bielefeld. Zbl0385.46039MR468970
7. [6] R. Haag, N. Hugenholtz, M. WinninkOn the Equilibrium States in Quantum Statistical Mechanics. Commun. math. Phys.5, 215 (1967). Zbl0171.47102MR219283
8. [7] R. KuboJ. Physic. Soc.Japan, 12, 570 (1957). MR98482
9. [8] P.C. Martin, J. SchwingerPhys. Rev., 115 , 1342 (1959) Zbl0091.22906MR109702
10. [9] M. TakesakiTomita's Theory of modular Hilbert Algebras and its Applications. SpringerLecture Notes in Math. n° 128 (1970). Zbl0193.42502MR270168
11. [10] S. Doplicher, R. Haag, J.E. RobertsFields, Observables and Gauge Transformations I and II. Commun. math. Phys.13, 1 (1969) et 15, 173 (1969). Zbl0186.58205MR258394
12. [11] S. Doplicher, R. Haag, J.E. RobertsLocal Observables and Particle Statistics I. Commun. math. Phys.15 , 173 (1969) Zbl0186.58205MR260294
13. S. Doplicher, R. Haag, J.E. RobertsLocal Observables and Particle Statistics II. Commun. math. Phys.23 , 199 (1971). MR297259
14. [12] J. RobertsCross Products of von Neumann Algebras by Group DualsMarseille prpprint - à paraître dans Symposia Mathematica - (Actes des Colloques de l'Istituto di Alta Matematica, Rome). Zbl0441.46053
15. [13] H. ArakiExpansional in Banach Algebras. Ann. Sci. Ecole Norm. Sup.6, 1 (1973). Zbl0257.46054MR435842
16. [14] H. ArakiRelative Hamiltonian for faithful Normal States of a von Neumann Algebra. Pub. RIMS Kyoto University9, 165 (1973). Zbl0273.46054MR342080
17. [15] D.W. RobinsonReturn to Equilibrium. Commun. math. Phys.31, 171 (1973). Zbl0257.46091MR332078
18. [16] A. ConnesUne classificacion des facteurs de type III. Ann. Sci. Ecole Norm. Sup.6, 133 (1973). Zbl0274.46050MR341115
19. [16a] A. ConnesThe 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 Holland1976. Zbl0414.46042MR633775
20. [17] R. Herman, D. KastlerEnergy Spectrum of extremal invariant StatesPennsylvania State University Preprint Zbl0373.46075MR493375
21. [18] D. Kastler, G. Loupias, M. Mebkhout, L. MichelCentral Decompositions of Invariant States. Commun. math. Phys.27 , 195 (1972). Zbl0239.46069MR432108
22. [19] H. Hewitt, K. A. RossAbstract Harmonic Analysis. Springer Zbl0115.10603
23. [20] R. Herman, M. TakesakiStates and Automorphism Groups of Operator AlgebrasCotmmun. Math. Phys.19, 141 (1970). Zbl0206.13001MR270167
24. [21] J. RobertsSpontaneously broken Gauge Symmetries and Superselection RulesSchool of Mathematical Physics Camerino (Italy) October 1974Marseille Preprint 74/P665 
25. [22] D.W. Robinson Private communication