Voir la notice du chapitre de livre provenant de la source Numdam
@incollection{AST_1995__232__211_0,
author = {St{\o}rmer, Erling},
title = {Entropy in operator algebras},
booktitle = {Recent advances in operator algebras - Orl\'eans, 1992},
series = {Ast\'erisque},
pages = {211--230},
publisher = {Soci\'et\'e math\'ematique de France},
number = {232},
year = {1995},
zbl = {0844.46033},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AST_1995__232__211_0/}
}
TY - CHAP AU - Størmer, Erling TI - Entropy in operator algebras BT - Recent advances in operator algebras - Orléans, 1992 AU - Collectif T3 - Astérisque PY - 1995 SP - 211 EP - 230 IS - 232 PB - Société mathématique de France UR - http://geodesic.mathdoc.fr/item/AST_1995__232__211_0/ LA - en ID - AST_1995__232__211_0 ER -
Størmer, Erling. Entropy in operator algebras, dans Recent advances in operator algebras - Orléans, 1992, Astérisque, no. 232 (1995), pp. 211-230. http://geodesic.mathdoc.fr/item/AST_1995__232__211_0/
[1] , Relative entropy of states of von Neumann algebras I, II, Publ. RIMS, Kyoto Univ. 11 (1976), 809-833 | MR | Zbl | DOI
, Relative entropy of states of von Neumann algebras I, II, Publ. RIMS, Kyoto Univ. 13 (1977), 173-192. | MR | Zbl | DOI
[2] , On the entropy in von Neumann algebras, Ergod. Th. & Dynam. Sys. 1 (1981), 419-429. | MR | Zbl | DOI
[3] , On the entropy of quantum Markov states, Lecture Notes in Math. 1136, pp. 81-89. Springer-Verlag 1985. | MR | Zbl
[4] , Entropy for -endomorphisms and relative entropy for subalgebras, J. Operator Theory, 25 (1991), 125-140. | MR | Zbl
[5] , Entropie de Kolmogoroff Sinai et mechanique statistique quantique, C. R. Acad. Sci. Paris 301 (1985), 1-6. | Zbl | MR
[6] , , and , An amenable equivalence relation is generated by a single transformation, Ergod. Th. & Dynam. Sys. 1 (1981), 431-450. | MR | Zbl | DOI
[7] , , and , Dynamical entropy of -algebras and von Neumann algebras, Commun. Math. Phys. 112 (1987), 691-719. | MR | Zbl | DOI
[8] , and , Entropy of automorphisms of von Neumann algebras, Acta math. 134 (1975), 289-306. | MR | Zbl | DOI
[9] , and , A connection between the classical and the quantum mechanical entropies, Operator Algebras and Group Representations, Monographs and Studies in Math. 17. Pitman 1984, 113-123. | MR | Zbl
[10] , Entropy of automorphisms of -algebras, Publ. RIMS Kyoto Univ. 18 (1982), 1045-1051. | MR | Zbl | DOI
[11] , The entropy density of quasi free states, Commun. Math. Phys. 31 (1973), 279-290. | MR | Zbl | DOI
[12] , Free shifts of factors, Thesis, Univ. of Oslo, To appear. | Zbl
[13] , Quantenmechanische topologische Entropie, Thesis, Univ. Wien, 1992.
[14] , Index for subfactors, Invent. Math. 72 (1983), 1-25. | MR | Zbl | EuDML | DOI
[15] , Relative entropy of states: a variational expression, J. Operator Theory 16 (1986), 335-348. | MR | Zbl
[16] , Convex trace functions and the Wigner-Yanase-Dyson conjecture, Advances in Math. 11 (1973), 267-288. | MR | Zbl | DOI
[17] , and , Proof of the strong subadditivity of quantum mechanical entropy, J. Math. Phys. 14 (1973), 1938-1941. | MR | DOI
[18] , and , Dynamical entropy of quasifree automorphisms, Letters Math. Phys. 14 (1987), 89-96. | MR | Zbl | DOI
[19] , and , Dynamical entropy of quantum systems and their Abelian counterpart, To appear. | MR | Zbl | DOI
[20] , and , Dynamical entropy of quasi-local algebras in quantum statistical mechanics, Commun. Math., Phys. | MR | Zbl
[21] , and , Dynamical entropy of space translations of and algebras with respect to quasi-free states, To appear. | MR | Zbl
[22] , and , Entropy and index for subfactors, Ann. Sci. École Norm. Sup. Ser. 4, 19 (1986), 57-106. | MR | Zbl | EuDML | Numdam | DOI
[23] , Maximal injective subalgebras in type factors, Advances in Math. 50 (1983), 27-48. | MR | Zbl | DOI
[24] , Notes on Cartan subalgebras in type factors, Math. Scand. 57 (1985), 171-188. | Zbl | MR | EuDML | DOI
[25] , and , Form convex functions and the and other inequalities, Letters Math. Phys. 2 (1978), 505-512. | MR | Zbl | DOI
[26] , Shift automorphisms of the hyperfinite factor, Math. Nachtrichten 131 (1987), 101-106. | MR | Zbl | DOI
[27] , Continuous outer actions of the hyperfinite factor, Proc. conf. on ergodic th. II, Georgenthal 1986, pp. 166-170, Teuler-Texte Math. 94, Teulner, Leipzig 1987. | MR | Zbl
[28] , and , Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs, To appear. | MR | Zbl | DOI
[29] , Entropy of some automorphisms of the -factor of the free group in infinite number of generators, Invent. Math. 110 (1992), 63-73. | MR | Zbl | EuDML | DOI
[30] , Entropy of some inner automorphisms of the hyperfinite -factor, International J. Math., To appear. | Zbl
[31] , and , Entropy of Bogoliubov automorphisms of the canonical anticommutation relations, Commun. Math. Phys. 133 (1990), 521- 542. | MR | Zbl | DOI
[32] , Entropy of dynamical systems and perturbations of operators, Ergod. Th. & Dynam. Sys. 11 (1991), 779-786. | MR | Zbl | DOI
[33] , Entropy of dynamical systems and perturbations of operators, II. To appear. | MR | Zbl
[34] , An introduction to ergodic theory, Graduate Texts in Math. 79, Springer-Verlag. | MR | Zbl
