Entropy and index for subfactors
Pimsner, Mihai ; Popa, Sorin
Annales scientifiques de l'École Normale Supérieure, Tome 19 (1986), p. 57-106 / Harvested from Numdam
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@article{ASENS_1986_4_19_1_57_0,
     author = {Pimsner, Mihai and Popa, Sorin},
     title = {Entropy and index for subfactors},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {19},
     year = {1986},
     pages = {57-106},
     doi = {10.24033/asens.1504},
     mrnumber = {87m:46120},
     zbl = {0646.46057},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1986_4_19_1_57_0}
}

Pimsner, Mihai; Popa, Sorin. Entropy and index for subfactors. Annales scientifiques de l'École Normale Supérieure, Tome 19 (1986) pp. 57-106. doi : 10.24033/asens.1504. http://gdmltest.u-ga.fr/item/ASENS_1986_4_19_1_57_0/

[1] T. Ando, Topics on Operator Inequalities (Lecture Notes, Saporo, 1978).

[2] O. Bratteli, Inductive Limits of Finite Dimensional C*-Algebras (Trans. Amer. Math Soc., Vol. 171, 1972, pp. 195-234). | MR 312282 | Zbl 0264.46057

[3] M. Choda, The Crossed Product of a Full II1-Factor by a Group of Outer Automorphisms (Math. Japonica, Vol. 23, No. 4, 1978, pp. 385-391). | MR 524989 | Zbl 0395.46047

[4] M. D. Choi, A Schwartz Inequality for Positive Linear Maps (Canad. J. Math., 1975, pp. 559-574).

[5] E. Christensen, Subalgebras of a Finite Algebra (Math. Ann. Vol. 8, 1975, pp. 383-419). | MR 543091

[7] A. Connes, Classification of Injective Factors (Ann. of Math., Vol. 104, 1976, pp. 73-116). | MR 454659 | Zbl 0343.46042

[8] A. Connes, Sur la classification des facteurs de type II (C. R. Acad. Sc., Paris, T. 281, 1975, pp. 383-420). | MR 377534 | Zbl 0304.46042

[9] A. Connes et E. Störmer, Entropy for Automorphisms of II1, von Neumann Algebras (Acta Math., Vol. 134, 1975, pp. 288-306). | MR 454657 | Zbl 0326.46032

[10] A. Connes et E. Störmer, A Connection between the Classical and the Quantum Mechanical Entropies, in Operator Algebras and Group Representations, Pitman, 1983, pp. 113-123. | MR 731767 | Zbl 0543.46040

[11] C. Davis, A Schwartz Inequality for Convex Operator Functions (proc. Amer. Math. Soc., Vol. 8, 1957, pp. 42-44). | MR 84120 | Zbl 0080.10505

[12] M. Goldman, On Subfactors of Factors of Type II1 (Mich. Math. J., Vol. 7, 1960, pp. 167-172). | MR 107827 | Zbl 0121.10002

[13] V. Jones Index for Subfactors (Invent. Math., Vol. 72, 1983, pp. 1-25). | MR 696688 | Zbl 0508.46040

[14] R. V. Kadison, Problems on von Heumann Algebras, Baton Rouge, Conference, 1967.

[15] F. Kraus, Über konvexe Matrixfunctionen (Math. Z., Vol. 41, 1936, pp. 18-42). | JFM 62.1079.02 | Zbl 0013.39701

[16] E. Lieb et M. B. Ruskai, Proof of the Astrong Subaditivity of Quantum Mechanical Entropy (J. Math. Phys., Vol. 14, 1973, pp. 1938-1941). | MR 345558

[17] K. Löwner, Über monotone matrixfunctionen (Math. Z., Vol. 38, 1934, pp. 117-216). | JFM 60.0055.01 | Zbl 0008.11301

[18] D. Mcduff, Central Sequences and the Hyperfinite Factor (Proc. London Math. Soc., Vol. 21, 1970, pp. 443-461). | MR 281018 | Zbl 0204.14902

[19] F. Murray et J. Von Neumann, Rings of operators (Ann. of Math., Vol. 44, 1943, pp. 716-808). | MR 9096 | Zbl 0060.26903

[20] S. Popa, On a problem of R.V. Kadison on maximal abelian subalgebras in factors (Invent. math., Vol. 65, 1981, pp. 269-281). | MR 641131 | Zbl 0481.46028

[21] S. Popa, Orthogonal Pairs of Subalgebras in Finite von Neumann algebras (J. Operator Theory, Vol. 9, 1983, pp. 253-268). | MR 703810 | Zbl 0521.46048

[22] M. Rieffel, Induced Representations of C*-Algebras (Advances in Math., Vol. 13, 1974, pp. 176-257). | MR 353003 | Zbl 0284.46040

[23] S. Sakai, C* and W*-Algebras (Ergebnisse der Math, und ihrer Grenzgebiete, Band 60). | MR 442701 | Zbl 0219.46042

[24] S. Strătilă et L. Zsido, Lectures on von Neumann Algebras, Abacus Press/Ed. Academiei, Tunbridge Wells/Bucuresti, 1979. | MR 526399 | Zbl 0391.46048

[25] H. Umegaki, Conditional Expectations in an Operator Algebra (Tohoku Math. J. Vol. 6, 1954, pp. 358-362). | Zbl 0058.10503