Représentation des groupes localement compacts et applications aux algèbres d'opérateurs
Astérisque, no. 55 (1978), 140 p.
@book{AST_1978__55__R1_0,
     author = {Combes, F. and Delaroche, C. and Denizeau, Y. and Enoch, M.},
     title = {Repr\'esentation des groupes localement compacts et applications aux alg\`ebres d'op\'erateurs},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {55},
     year = {1978},
     zbl = {0397.46062},
     mrnumber = {511656},
     language = {fr},
     url = {http://www.numdam.org/item/AST_1978__55__R1_0}
}
Combes, F.; Delaroche, C.; Denizeau, Y.; Enoch, M. Représentation des groupes localement compacts et applications aux algèbres d'opérateurs. Astérisque, no. 55 (1978), 140 p. http://www.numdam.org/item/AST_1978__55__R1_0/

[1] W. Arveson, On groups of automorphisms of operator algebras (J. Funct. Anal., t. 15, 1974, p. 217-243). | Article | MR 348518 | Zbl 0296.46064

[2] F. F. Bonsall & J. Duncan, Numerical ranges of operators on normed spaces and of elements & of normed algebras (London Math. Soc. Lecture Note Series, n° 2, Cambridge university Press, 1971). | MR 288583 | Zbl 0207.44802

[3] H. J. Borchers, Energy and momentum asobservables in quantum field theory (Comm. Math. Phys., t. 2, 1966, p. 49-54.). | Article | MR 200037 | Zbl 0138.45201

[4] H. J. Borchers, On groups of automorphisms with semi-bounded spectrum (Colloque Gif-sur-Yvette, C.N.R.S., 1969). | Zbl 0262.46057

[5] H. J. Borchers, Über Ableitungen von C * -Algebren (Nach. d. Göttingen Akad., t. 2, 1973, p. 19-35) | MR 353001 | Zbl 0287.46072

[6] H. J. Borchers, Characterization of inner *-automorphisms of W * -algebras (Publ. Res. Inst. Math. Sci., t. 10, 1974, p. 11-50) | Article | MR 397430 | Zbl 0301.46052

[7] N. Bourbaki, Topologie Generale, Chap. 2 (Act. Sci. Ind., n° 1142, Paris, Hermann, 1961). | MR 141067 | Zbl 0139.15904 | Zbl 0102.37603

[8] N. Bourbaki, Espaces vectoriels topologiques (Act. Sci. Ind., nos 1189 et 1229, Paris, Hermann, 1966 et 1967) | MR 203425 | Zbl 0145.37702

[9] N. Bourbaki, Intégration, Chap. 6 (Act. Sci. Ind., n° 1281, Paris, Hermann, 1959). | MR 124722

[10] N. Bourbaki, Intégration, Chap. 8 (Act. Sci. Ind., n° 1306, Paris, Hermann, 1963). | Zbl 0156.03204

[11] N. Bourbaki, Théories spectrales (Act. Sci. Ind., n° 1332, Paris, Hermann, 1967). | Zbl 0152.32603

[12] R. Charpentier, Théorie spectrale desgroupes localement compacts commutatifs (Thèse 3ème Cycle, Université d'Orléans, 1975).

[13] F. Combes, Quelques propriétés des C * -algèbres (Bull Sc. Math, 2ème série, t. 94, 1970, p. 165-192) | MR 306931 | Zbl 0211.15904

[14] F. Combes, Poids associé à une algèbre hilbertienne à gauche (Comp. Math., t. 23, 1971, p 49-77) | MR 288590 | Zbl 0208.38201

[15] A. Connes, Une classification des facteurs de type III (Ann. Sci. Ec. Norm. Sup., t. 6, 1973, p 133-252) | Article | MR 341115 | Zbl 0274.46050

[16] A. Connes, Almost periodic states and factors of type III 1 , (J. Funct. Anal., t. 6, 1974, p. 415-445) | Article | MR 358374 | Zbl 0302.46050

[17] A. Connes & A. Van Daele, The group property of the invariant S (Math. Scand., t. 32, 1973, p. 187-192) | Article | MR 336362 | Zbl 0268.46056

[18] J. Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien (Gauthier-Villars, Paris, 1969) | MR 352996 | Zbl 0175.43801

[19] N. Dunford & J. Schwartz, Linear operators, Vol I (Interscience Publishers, New-York, 1967)

[20] F. Forelli, Analytic and quasi-invariant measures (Acta. Math., t. 118, 1967, p. 33-59) | Article | MR 209771 | Zbl 0171.34201

[21] A. Grothendieck, Espaces vectoriels topologiques (Sociedade de Matematica, São Paulo, 1964) | Zbl 0316.46001

[22] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires (Mem. Amer. Math. Soc. n° 16, 1955) | MR 75539 | Zbl 0123.30301 | Zbl 0064.35501

[23] U. Haagerup, The standard form of von Neumann algebras (University of Copenhagen, preprint n° 15, 1973) | MR 407615 | Zbl 0304.46044

[24] R. V. Kadison, Derivations of operator algebras (Ann. of Math., t. 83, 1966, p. 280-293) | Article | MR 193527 | Zbl 0139.30503

[25] R. V. Kadison & J. R. Ringrose, Derivations and automorphisms of operator algebras (Comm. Math. Phys., t. 4, 1967, p. 32-63) | Article | MR 206735 | Zbl 0149.34403

[26] R. R. Kallman, Uniform continuity, unitary groups and compact operators (J. Funct. Anal., t. 1, 1967, p. 245-253) | Article | MR 234214 | Zbl 0172.18501

[27] G. Mokobodski, Sur des mesures qui définissent des graphes d'applications (Séminaire Brelot-Choquet-Deny, 6ème année, 1962) | Zbl 0115.32302

[28] D. Olesen, Derivations of AW * -algebras are inner (Pacific J. Math., t. 53, 1974, p. 555-561) | Article | MR 358378 | Zbl 0298.46064

[29] D. Olesen, On norm continuity and compactness of spectrum (Math. Scand. t. 35, 1974, p. 223-236) | Article | MR 374332 | Zbl 0298.46066

[30] D. Olesen, Inner *-automorphisms of simple C * -algebras (Comm. Math. Phys., t. 44, 1975, p. 175-190) | Article | MR 388113 | Zbl 0323.46061

[31] D. Olesen, On spectral subspaces and their applications to automorphism groups (Séminaire de Physique théorique, C.N.R.S., Marseille, 1974) | Zbl 0383.46009

[32] D. Olesen & G. K. Pedersen, Derivations of C * -algebras have semi-continuous generators (pacific J. Math., t. 53, 1974, p 563-572) | Article | MR 358379 | Zbl 0298.46063

[33] G. K. Pedersen, Applications of weak *-semicontinuity in C * -algebra theory (Duke Math. J., t. 39, 1972, p. 431-450) | Article | MR 315463 | Zbl 0244.46073

[34] G. K. Pedersen & M Takesaki, The Radon-Nikodym theorem for von Neumann algebras (Acta Math., t. 130, 1973, p. 53-87) | Article | MR 412827 | Zbl 0262.46063

[35] W. Rudin, Fourier analysis on groups (Interscience Publishers, New-York, 1962) | MR 152834 | Zbl 0107.09603

[36] S. Sakai, Derivations of W * -algebras (Ann. of Math., t. 83, 1966, p. 273-279) | Article | MR 193528 | Zbl 0139.30601

[37] S. Sakai, C * -algebras and W * -algebras (Springer-Verlag, 1971) | MR 442701

[38] S. Sakai, Derivations of simple C * -algebras II (Bull. Soc. Math.France, t. 99, 1971, p. 259-263) | Article | MR 293414 | Zbl 0216.41401

[39] L. Schwartz, Probabilités cylindriques et applications radonifiantes (Journal de la Faculté des Sciences, Université de Tokyo, t. 18, 1971, p. 139-285) | MR 320747 | Zbl 0265.60008

[40] E. Størmer, Spectra of ergodic transformations (J. Funct. Anal., t. 15, 1974, p. 202-215) | Article | MR 377544 | Zbl 0276.46031

[41] M. Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III (Acta. Math., t. 131, 1973, p. 249-310) | Article | MR 438149 | Zbl 0268.46058

[42] M. Takesaki, Tomita's theory of modular Hilbert algebras and its applications (Lecture notes in Mathematics, n° 128, Springer-Verlag, 1970) | MR 270168 | Zbl 0193.42502

[43] A. S. Wightman, Proc. Int. Congress of Mathematicians, 1962, p. 587-595 | Zbl 0128.45901

[44] S. Doplicher, An algebraic spectrum condition (Comm. Math. Phys., t. 1, 1965, p. 1-5) | Article | MR 182334 | Zbl 0137.45504

[45] G. F. Dell'Antonio, On some groups of automorphisms of physical observables (Comm. Math. Phys., t. 2, 1966, p. 384-397 | Article | MR 216298 | Zbl 0141.41502