Perturbations compactes des représentations d'un groupe dans un espace de Hilbert
Journées sur la géométrie de la dimension infinie (Lyon, 1975), Mémoires de la Société Mathématique de France, no. 46 (1976), p. 41-65
@incollection{MSMF_1976__46__41_0,
     author = {La Harpe, Pierre de and Karoubi, Max},
     title = {Perturbations compactes des repr\'esentations d'un groupe dans un espace de Hilbert},
     booktitle = {Journ\'ees sur la g\'eom\'etrie de la dimension infinie (Lyon, 1975)},
     author = {Collectif},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {46},
     year = {1976},
     pages = {41-65},
     zbl = {0331.46051},
     mrnumber = {54 \#12964},
     language = {mul},
     url = {http://www.numdam.org/item/MSMF_1976__46__41_0}
}
La Harpe, Pierre de; Karoubi, Max. Perturbations compactes des représentations d'un groupe dans un espace de Hilbert, in Journées sur la géométrie de la dimension infinie (Lyon, 1975), Mémoires de la Société Mathématique de France, no. 46 (1976), pp. 41-65. doi : 10.24033/msmf.184. http://www.numdam.org/item/MSMF_1976__46__41_0/

[1] M.F. Atiyah et F. Hirzebruch, Vector bundles and homogeneous spaces, Proceedings of Symposia in Pure Mathematics, vol. 3, 7-38, Amer. Math. Soc. 1961. | MR 25 #2617 | Zbl 0108.17705

[2] N. Bourbaki, Intégration, chap. I à IV, 2e édit., Hermann 1965.

[3] L.G. Brown, R.G. Douglas et P.A. Fillmore, Unitary equivalence modulo the compact operators and extensions of C*-algebras, Lecture Notes in Mathematics, vol. 345, 58-128, Springer 1973. | MR 52 #1378 | Zbl 0277.46053

[4] L.G. Brown, communication privée.

[5] V.M. Buhstaber et A.S. Miscenko, A K-theory on the category of infinite cell complexes, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 560-604 = AMS Translations of the same 2 (1968), 515-556. | MR 40 #6537

[6] J.W. Calkin, Two-sided ideals and congruences in the ring of bounded operators in Hilbert space, Ann. of Math. 42 (1941), 839-873. | MR 3,208c | Zbl 0063.00692

[7] J. Dieudonne, Eléments d'analyse, 4, Gauthier-Villars 1971. | Zbl 0217.00101

[8] J. Dixmier, Les C✳-algèbres et leurs représentations, 2e édit., Gauthier-Villars 1969. | Zbl 0174.18601

[9] P. De La Harpe et M. Karoubi, Perturbations compactes des représentations d'un groupe dans un espace de Hilbert, C.R. Acad. Sc. Paris, Sér. A, 1975. | MR 52 #10948 | Zbl 0313.22006

[10] G. Hochschild, The structure of Lie groups, Holden-Day, 1965. | MR 34 #7696 | Zbl 0131.02702

[11] L. Ingelstam, Real Banach algebras, Ark. Mat. 5 (1964), 239-270. | MR 30 #2358 | Zbl 0149.09701

[12] K. Iwasawa, On some types of topological groups, Ann. of Math. 30 (1949), 507-558. | MR 10,679a | Zbl 0034.01803

[13] N. Kuiper, The homotopy type of the unitary group of Hilbert space, Topology 3 (1965), 19-30. | MR 31 #4034 | Zbl 0129.38901

[14] S. Lang, Introduction aux variétés différentiables, Dunod 1967. | MR 35 #3706 | Zbl 0154.21402

[15] C.L. Olsen, A structure theorem for polynomially compact operators, Am. J. Math. 93, (1971), 686-698. | MR 53 #8947 | Zbl 0239.47017

[16] R.S. Palais, Seminar on the Atiyah-Singer index theorem, Princeton Univ. Press 1965. | MR 33 #6649 | Zbl 0137.17002

[17] R.S. Palais, Homotopy theory of infinite dimensional manifolds, Topology 5, (1966), 1-16. | MR 32 #6455 | Zbl 0138.18302

[18] C.R. Putnam, Commutation properties of Hilbert space operators and related topics, Springer 1967. | MR 36 #707 | Zbl 0149.35104

[19] C.E. Rickart, General theory of Banach algebras, Van Nostrand 1960. | MR 22 #5903 | Zbl 0095.09702

[20] I.M. Singer, Uniformly continuous representations of Lie groups, Ann. of Math. 56 (1952), 242-247. | MR 14,135a | Zbl 0049.35802

[21] J. Stasheff, H-spaces from a homotopy point of view, Lecture Notes in Mathematics, vol. 161, Springer 1970. | MR 42 #5261 | Zbl 0205.27701

[22] F.J. Thayer-Fabrega, Obstructions to lifting ✳-morphisms into the Calkin algebra, Tulane University, 1973.