@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}, pages = {57--106}, publisher = {Elsevier}, volume = {Ser. 4, 19}, number = {1}, year = {1986}, doi = {10.24033/asens.1504}, mrnumber = {87m:46120}, zbl = {0646.46057}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1504/} }
TY - JOUR AU - Pimsner, Mihai AU - Popa, Sorin TI - Entropy and index for subfactors JO - Annales scientifiques de l'École Normale Supérieure PY - 1986 SP - 57 EP - 106 VL - 19 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1504/ DO - 10.24033/asens.1504 LA - en ID - ASENS_1986_4_19_1_57_0 ER -
Pimsner, Mihai; Popa, Sorin. Entropy and index for subfactors. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 19 (1986) no. 1, pp. 57-106. doi : 10.24033/asens.1504. http://archive.numdam.org/articles/10.24033/asens.1504/
[1] Topics on Operator Inequalities (Lecture Notes, Saporo, 1978).
,[2] Inductive Limits of Finite Dimensional C*-Algebras (Trans. Amer. Math Soc., Vol. 171, 1972, pp. 195-234). | MR | Zbl
,[3] 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 | Zbl
,[4] A Schwartz Inequality for Positive Linear Maps (Canad. J. Math., 1975, pp. 559-574).
,[5] Subalgebras of a Finite Algebra (Math. Ann. Vol. 8, 1975, pp. 383-419). | MR
,[7] Classification of Injective Factors (Ann. of Math., Vol. 104, 1976, pp. 73-116). | MR | Zbl
,[8] Sur la classification des facteurs de type II (C. R. Acad. Sc., Paris, T. 281, 1975, pp. 383-420). | MR | Zbl
,[9] Entropy for Automorphisms of II1, von Neumann Algebras (Acta Math., Vol. 134, 1975, pp. 288-306). | MR | Zbl
et ,[10] A Connection between the Classical and the Quantum Mechanical Entropies, in Operator Algebras and Group Representations, Pitman, 1983, pp. 113-123. | MR | Zbl
et ,[11] A Schwartz Inequality for Convex Operator Functions (proc. Amer. Math. Soc., Vol. 8, 1957, pp. 42-44). | MR | Zbl
,[12] On Subfactors of Factors of Type II1 (Mich. Math. J., Vol. 7, 1960, pp. 167-172). | MR | Zbl
,[13] Index for Subfactors (Invent. Math., Vol. 72, 1983, pp. 1-25). | MR | Zbl
[14] Problems on von Heumann Algebras, Baton Rouge, Conference, 1967.
,[15] Über konvexe Matrixfunctionen (Math. Z., Vol. 41, 1936, pp. 18-42). | JFM | Zbl
,[16] Proof of the Astrong Subaditivity of Quantum Mechanical Entropy (J. Math. Phys., Vol. 14, 1973, pp. 1938-1941). | MR
et ,[17] Über monotone matrixfunctionen (Math. Z., Vol. 38, 1934, pp. 117-216). | JFM | Zbl
,[18] Central Sequences and the Hyperfinite Factor (Proc. London Math. Soc., Vol. 21, 1970, pp. 443-461). | MR | Zbl
,[19] Rings of operators (Ann. of Math., Vol. 44, 1943, pp. 716-808). | MR | Zbl
et ,[20] On a problem of R.V. Kadison on maximal abelian subalgebras in factors (Invent. math., Vol. 65, 1981, pp. 269-281). | MR | Zbl
,[21] Orthogonal Pairs of Subalgebras in Finite von Neumann algebras (J. Operator Theory, Vol. 9, 1983, pp. 253-268). | MR | Zbl
,[22] Induced Representations of C*-Algebras (Advances in Math., Vol. 13, 1974, pp. 176-257). | MR | Zbl
,[23] C* and W*-Algebras (Ergebnisse der Math, und ihrer Grenzgebiete, Band 60). | MR | Zbl
,[24] Lectures on von Neumann Algebras, Abacus Press/Ed. Academiei, Tunbridge Wells/Bucuresti, 1979. | MR | Zbl
et ,[25] Conditional Expectations in an Operator Algebra (Tohoku Math. J. Vol. 6, 1954, pp. 358-362). | Zbl
,Cited by Sources: