@article{RCP25_1969__9__A4_0, author = {Ruelle, David}, title = {Integral {Representation} of {States} on a $C^*${-Algebra}}, journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25}, note = {talk:4}, pages = {1--54}, publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur}, volume = {9}, year = {1969}, language = {en}, url = {http://www.numdam.org/item/RCP25_1969__9__A4_0/} }
TY - JOUR AU - Ruelle, David TI - Integral Representation of States on a $C^*$-Algebra JO - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25 N1 - talk:4 PY - 1969 SP - 1 EP - 54 VL - 9 PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur UR - http://www.numdam.org/item/RCP25_1969__9__A4_0/ LA - en ID - RCP25_1969__9__A4_0 ER -
%0 Journal Article %A Ruelle, David %T Integral Representation of States on a $C^*$-Algebra %J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25 %Z talk:4 %D 1969 %P 1-54 %V 9 %I Institut de Recherche Mathématique Avancée - Université Louis Pasteur %U http://www.numdam.org/item/RCP25_1969__9__A4_0/ %G en %F RCP25_1969__9__A4_0
Ruelle, David. Integral Representation of States on a $C^*$-Algebra. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 9 (1969), Exposé no. 4, 54 p. http://www.numdam.org/item/RCP25_1969__9__A4_0/
[1] Einfürung in die Axiomatische Quantenfeldtheorie. Lecture Notes, ETH, Zurich (1961-62).
[2] On the KMS Boundary Condition. Publ. R.I.M.S. Kyoto Univ. Ser. A, 4, 361-371. | MR | Zbl
and[3] Problèmes Ergodiques de la Mécanique Classique, Gauthier-Villars, Paris, 1967. | MR | Zbl
et[4] Eléments de Mathématique, Intégration Chapitres 1, 2nd, 3 et 4. 2nd ed., Hermann, Paris, 1965. | Zbl
[5] Eléments de Mathématique, Intégration Chapitre 6 Hermann, Paris, 1960. | Zbl
[6] Comparaison des mesures portées par un ensemble convexe compact. Bull. Soc. Math. France. 92, 435-445 (1964). | Numdam | MR | Zbl
, et .[7] Existence et Unicité des Représentations Intégrales dans les Convexes Compacts Quelconques, Ann. Inst. Fourier. 13, 139-154 (1963). | Numdam | MR | Zbl
et[8] Les algebres d'opérateurs dans l'espace hilbertien (Algebres de von Neumann), Gauthier-Villars, Paris, 1957. | MR | Zbl
[9] Les C*-algebres et leurs représentations. Gauthier-Villars, Paris, 1964. | MR | Zbl
[10] Gibbsian probability field for lattice systems with pair interactions. Funkts. Analiz i ego Pril. 2, 31-43 (1968). | Zbl
[11] The question of uniqueness of a Gibbsian probability field and problems of phase transitions. Funkts. Analiz i ego Pril. 2. 44-57 (1968). | MR | Zbl
[12] Almost Periodic States on C* -Algebras (Unpublished Report (1966).
, and[13] Désintégration des Etats quasi-invariants des C*-algèbres. Unpublished report (1969). | Zbl
, and[14] Asymptotically Abelian Systems. Comm. Math. Phys. 6, 101-120 (1967). | MR | Zbl
, , and[15] Ergodic States in a Non Commutative Ergodic Theory. Commun. Math. Phys. 7, 1-20 (1968). | MR | Zbl
and[16] Covariance Algebras in Field Theory and Statistical Mechanics. Commun. Math. Phys. 3, 1-28 (1966). | MR | Zbl
, and[17] Invariant States and Asymptotic Abelianness. Unpublished Report (1968). | Zbl
, and[18] The Borel space of von Neumann algebras on a separable Hilbert space. Pacific J. Hath. 15, 1153-1164 (1965). | MR | Zbl
,[19] Central Decomposition of Ergodic States. Unpublished Report (1968).
, and[20] On Locally Normal States in Quantum Statistical Mechanics. Commun. Math. Phys. 11, 183-197 (1969). | MR | Zbl
and[21] Neuere Methoden und Ergebnisse der Ergodentheorie Springer, Berlin (1960). | MR | Zbl
[22] Ergodic Theory, Lecture Notes, Aarhus Universitet, Aarhus (1963). | Zbl
[23] Invariant States in Statistical Mechanics. Commun. Math. Phys. 3, 151-180 (1966). | MR | Zbl
and[24] Topolegische Lineare Räume I. Springer, Berlin, 1960.
[25] Ergodic Type Theorems in von Neumann algebras. Acta Sci. Math. 27, 233-246 (1966). | MR | Zbl
and[26] Fluid Mechanics. Pergamon Press, Oxford, 1959. | MR | Zbl
and[27] Integral Representations of Invariant States on B* Algebras. J. Math. Phys. 8, 1460-1463 (1967). | MR | Zbl
and[28] Observables at Infinity and States with short Range Correlations in Statistical Mechanics, Unpublished Report (1968). | MR
and[29] Eigenfunction Expansions. Monografie Matematyczne. 48 PWK, Warsaw, 1968. | Zbl
[30] Lectures on Choquet's Theorem. D. Van Nostrand, Princeton, 1966. | MR | Zbl
[31] Representations of Uniformly Hyperfinite Algebras and their associated Von Neumann Rings. Ann. Math. 86, 138-171 (1967). | MR | Zbl
[32] Leçons d'Analyse Fonctionnelle 3-rd ed. Académie des Sciences de Hongrie, 1955, | Zbl
et[33] Extremal Invariant States. Ann. Inst, Henri Poincaré 6, 299-310 (1967). | Numdam | MR
and[34] States of Physical Systems. Common. Math. Phys. 3, 133-150 (1966). | MR | Zbl
[35] States of Classical Statistical Mechanics. J. Math. Phys. 8, 1657-1668 (1967). | Zbl
[36] Statistical Mechanics. Rigorous Results. Benjamin, New York, 1969. | MR | Zbl
[37] On the Central Decomposition for Positive Functionals on C*-algebras. Trans. Amer. Math. Soc. 118, 406-419 (1965). | MR | Zbl
[38] Probabilistic Ideas in Ergodic Theory. International Congress of Mathematicians, Stockholm 1962, 540-559, | Zbl
Probabilistic Ideas in Ergodic Theory. Amer. Math. Soc. Transl. (2) 31, 62-81 (1963). | Zbl
[39] Large Groups of Automorphisms of C*-Algebras, Commun. Math. Phys. 5, 1-22 (1967). | MR | Zbl
[40] Types of von Neumann Algebras Associated with Extremal invariant States. Commun. Math. Phys. 6, 194-204 (1967). | MR | Zbl
[41] Symmetric States of Infinite Tensor Products of C*-Algebras, J. Functional Analysis 3, 48-68 (1969). | MR | Zbl
[42] Désintégration centrale des formes positives sur les C*-algèbres. C. R. Acad. Sci. 267, 810-812 (1968). | MR | Zbl