Ergodic States in a Non Commutative Ergodic Theory
Doplicher, S. ; Kastler, D.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 6 (1968), p. 1-38 / Harvested from Numdam
Publié le : 1968-01-01
@article{RCP25_1968__4__A5_0,
     author = {Doplicher, Sergio and Kastler, D.},
     title = {Ergodic States in a Non Commutative Ergodic Theory},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {6},
     year = {1968},
     pages = {1-38},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1968__4__A5_0}
}
Doplicher, S.; Kastler, D. Ergodic States in a Non Commutative Ergodic Theory. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 6 (1968) pp. 1-38. http://gdmltest.u-ga.fr/item/RCP25_1968__4__A5_0/

[1] S. Doplicher, D. Kastler and Derek W. Robinson Covariance Algebras in Field Theory and Statistical Mechanics Comm. Math. Phys. 3 1 (1966) | MR 205095 | Zbl 0152.23803

[2] D. Kastler and Derek W. Robinson. Invariant States in Statistical Mechanics, Comm. Math. Phys. 3 151 (1966) | MR 205096 | Zbl 0177.41303

[3] D. Ruelle, States of Physical Systems, Comm. Math. Phys. 3 133 (1966) | MR 203510 | Zbl 0141.44604

[4] D. Ruelle and D.W. Robinson, Extremal Invariant States, IHES Preprint (1966) | Numdam | MR 217609

[5] O. Lanford and D. Ruelle, Integral Representations of Invariant States on B*-algebras, Preprint (1966) | MR 220067 | Zbl 0166.11402

[6] S. Doplicher, R.V. Kadison, D. Kastler and D.W. Robinson, Asymptotically abelian Systems, Preprint (1966) | MR 216299 | Zbl 0177.41401

[6a] E. Størmer, Large groups of automorphism of C*-algebras Oslo, Preprint (1966)

[7] R. Haag, Mathematical Structure of the B.C.S. Model Nuov. Cim. 25 281 (1962) | MR 145921

[8] H. Araki and E.J. Woods, Representations of the canonical Commutation Relations describing on non-relativistic infinite free Bose Gas J. Math. Phys. 4 637 (1963) | MR 152295 | Zbl 0258.46051

[9] Derek W. Robinson, The Ground-State of the Bose Gas. Comm. Math. Phys. 1 159 (1965) | MR 187815

[10] R. Haag and D. Kastler, An algebraic Approach to Field Theory J. Math. Phys. 5 848 (1964) | MR 165864 | Zbl 0139.46003

[11] D. Kastler, A C*-Algebra Approach to Field Theory, Proceedings of the Conference in Function Spaces and Physical Applications Cambridge Mass. M.I.T. University Press (1964) | MR 167157

[12] J. Von Neumann, Zur Operatorenmethode in der Klassischen Mechanik Ann. Math. (2) 33 587 (1932) | MR 1503078 | Zbl 0005.12203

[13] J. Von Neumann, Almost periodic Functions in a Group I Collected Works, Vol. II p. 454 | JFM 60.0372.03 | Zbl 0009.34902

[14] R. Godement, Les fonctions de type positif et la théorie des groupes Trans. Amer. Math. Soc. 63 1 (1948) | MR 23243 | Zbl 0031.35903

[15] J. Dixmier, Les C*-algèbres et leurs représentations Paris, Gauthier-Villars (1964) | MR 171173 | Zbl 0174.18601

[16] G.W. Mackey, Ergodic Transformations Groups with a Pure Point Spectrum, Illinois J. Math. 8 593 (1964) | MR 172961 | Zbl 0255.22014

[17] G.W. Mackey, Unitary Representations of Group Extensions Acta Math. 99 265 (1958) | MR 98328 | Zbl 0082.11301

[18] R.P. Halmos, Lectures on Ergodic Theory Publications of the Mathematical Society of Japan n° 3 (1956) | MR 97489 | Zbl 0073.09302

[19] C. Chevalley, Theory of Lie Groups Princeton University Press (1946) | Zbl 0946.22001

[20] J. Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien Paris, Gauthier-Villars (1957) | MR 94722 | Zbl 0088.32304

[21] M.A. Naimark, Normierte Algebren V.E.B. Deutscher Verlag der Wissenschaften (1959) | Zbl 0717.46039

[22] G.W. Mackey, Point Realizations of Transformation Groups Illinois, J. Math. 6 327 (1962) | MR 143874 | Zbl 0178.17203

[23] H.J. Borchers, The Vacuum State in Field Theory II Commun. Math. Phys. | Zbl 0134.22904

[24] N. Bourbaki, Topologie Générale, Fascicule des Résultats Paris, Hermann