×

zbMATH — the first resource for mathematics

Conditional expectations in von Neumann algebras. (English) Zbl 0245.46089

MSC:
46L10 General theory of von Neumann algebras
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Combes, F, Poids sur une C∗-algèbre, J. math. pure appl., 47, 57-100, (1968) · Zbl 0165.15401
[2] Combes, F, Poids associé à une algèbre hilbertienne à gauche, Compotio math., 23, 49-77, (1971) · Zbl 0208.38201
[3] Dixmier, J, LES algèbres d’opérateurs dans l’espace hilbertien, (1969), Gauthier-Villars Paris · Zbl 0175.43801
[4] Dixmier, J, Algèbres quasi-unitaires, Comment. math. helv., 26, 275-322, (1952) · Zbl 0047.35601
[5] Dixmier, J, Formes linéaire sur un anneau d’opérateurs, Bull. soc. math. France, 81, 9-39, (1953) · Zbl 0050.11501
[6] Dye, H.A, The Radon-Nikodym theorem for finite rings of operators, Trans. amer. math. soc., 72, 243-280, (1952) · Zbl 0047.11101
[7] Haag, R; Hugenholtz, N.M; Winnink, M, On the equilibrium states in quantum statistical mechanics, Comm. math. phys., 5, 215-236, (1967) · Zbl 0171.47102
[8] Kovács, I; Szücs, J, Ergodic type theorems in von Neumann algebras, Acta sci. math., 27, 121-127, (1966) · Zbl 0143.36105
[9] Hakeda, J; Tomiyama, J, On some extension properties of von Neumann algebras, Tôhoku math. J., 19, 315-323, (1967) · Zbl 0175.14201
[10] Murray, F.J; Von Neumann, J, On rings of operators, Ann. math., 37, 116-229, (1936) · Zbl 0014.16101
[11] Von Neumann, J, On rings of operators, II, Ann. of math., 41, 94-161, (1940) · Zbl 0023.13303
[12] Pedersen, G.K; Pedersen, G.K; Pedersen, G.K; Pedersen, G.K, Measure theory for C∗-algebras, IV, Math. scand., Math. scand., Math. scand., Math. scand., 25, 121-127, (1969) · Zbl 0167.43401
[13] Pedersen, G.K, C∗-integral, () · Zbl 0504.46049
[14] \scF. Perdrizet, Éléments positifs relativement à une algèbre hilbertienne à gauche, to appear. · Zbl 0188.44603
[15] Pukanszky, L, On the theory of quasi-unitary algebras, Acta sci. math., 117, 103-121, (1955) · Zbl 0064.36701
[16] Sakai, S, The theory of W∗-algebras, () · Zbl 0267.46048
[17] Sakai, S, On the hyperfinite II_1-factor, (), 589-591 · Zbl 0157.44604
[18] Schwartz, J, Two finite, nonhyperfinite, nonisomorphic factors, Comm. pure appl. math., 16, 111-120, (1963)
[19] Segal, I.E, A noncommutative extension of abstract integration, Ann. of math., 57, 401-457, (1953) · Zbl 0051.34201
[20] Størmer, E, States and invariant maps of operator algebras, J. functional analysis, 5, 233-246, (1966)
[21] Takesaki, M, On the direct product of W∗-factors, Tôhoku math. J., 10, 116-119, (1958) · Zbl 0091.10604
[22] Takesaki, M, Tomita’s theory of modular Hilbert algebras and its applications, () · Zbl 0193.42502
[23] Takesaki, M, The theory of operator algebras, (1969/1970), University of California Los Angeles · Zbl 0175.44302
[24] Tomita, M, Standard forms of von Neumann algebras, ()
[25] Tomiyama, J, On the projection of norm one in W∗-algebras, (), 608-612 · Zbl 0081.11201
[26] Tomiyama, J, On the projection of norm one in W∗-algebras, III, Tôhoku math. J., 11, 125-129, (1959) · Zbl 0106.31004
[27] Tomiyama, J, On the tensor products of von Neumann algebras, Pacific J. math., 30, 263-270, (1969) · Zbl 0176.44002
[28] Umegaki, H; Umegaki, H; Umegaki, H; Umegaki, H, Conditional expectation in operator algebras, IV, (), 8, 59-85, (1956) · Zbl 0199.19706
[29] McDuff, D, Central sequences and the hyperfinite factor, (), 443-461 · Zbl 0204.14902
[30] Herman, R; Takesaki, M, States and automorphism groups of operator algebras, Comm. math. phys., 19, 142-160, (1970) · Zbl 0206.13001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.