@incollection{SB_1984-1985__27__289_0, author = {Connes, A.}, title = {Indice des sous facteurs, alg\`ebres de {Hecke} et th\'eorie des noeuds}, booktitle = {S\'eminaire Bourbaki : volume 1984/85, expos\'es 633-650}, series = {Ast\'erisque}, note = {talk:647}, pages = {289--308}, publisher = {Soci\'et\'e math\'ematique de France}, number = {133-134}, year = {1986}, mrnumber = {837226}, zbl = {0597.57005}, language = {fr}, url = {http://www.numdam.org/item/SB_1984-1985__27__289_0/} }
TY - CHAP AU - Connes, A. TI - Indice des sous facteurs, algèbres de Hecke et théorie des noeuds BT - Séminaire Bourbaki : volume 1984/85, exposés 633-650 AU - Collectif T3 - Astérisque N1 - talk:647 PY - 1986 SP - 289 EP - 308 IS - 133-134 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1984-1985__27__289_0/ LA - fr ID - SB_1984-1985__27__289_0 ER -
%0 Book Section %A Connes, A. %T Indice des sous facteurs, algèbres de Hecke et théorie des noeuds %B Séminaire Bourbaki : volume 1984/85, exposés 633-650 %A Collectif %S Astérisque %Z talk:647 %D 1986 %P 289-308 %N 133-134 %I Société mathématique de France %U http://www.numdam.org/item/SB_1984-1985__27__289_0/ %G fr %F SB_1984-1985__27__289_0
Connes, A. Indice des sous facteurs, algèbres de Hecke et théorie des noeuds, in Séminaire Bourbaki : volume 1984/85, exposés 633-650, Astérisque, no. 133-134 (1986), Talk no. 647, 20 p. http://www.numdam.org/item/SB_1984-1985__27__289_0/
[1] A lemma on systems of knotted curves, Proc. Nat. Acad. 9(1923), p. 93-95. | JFM
-[2] Topological invariants of knots and links, Trans. Amer. Math. Soc. 30(1928), p. 275-306. | JFM | MR
-[3] Theorie der Zopfe, Hamburg, Abh 9, p. 47-72. | JFM
-[4] Exactly solved models in statistical mechanics, Acad. Press, London (1982). | MR | Zbl
-[5] Entrelacements et structures de contact, Thèse, Paris (1982).
-[6] Braids, links and mapping class groups, Ann. Math. Studies, 82(1974). | MR | Zbl
-[7] On the Jones polynomial of the closed 3 braids, (Preprint). | MR
-[8] Groupes et Algèbres de Lie, Chap. 4, 5, 6, n° 1337, Hermann, Paris, 1960-1972. | Zbl
-[9] Inductive limits of finite dimensional C* algebras, Trans. AMS 171(1972), p. 195-234. | MR | Zbl
-[10] Sur les groupes de tresses, Sém. Bourbaki n° 401, 1971-1972. | Numdam | Zbl
-[11] Groupes réductifs sur un corps local, Ch. 1, Publ. IHES, Vol. 41 (1972). | Numdam | MR | Zbl
et -[12] Über Zopfgruppen und gleichsinning verdrillte verkettunger, Abh. Math. Sem. Hanischen Univ. 11(1936), p. 171-178. | Zbl
-[13] An enumeration of knots and links, computational problems inAbstract Algebra, Pergamon, N.Y. (1970), p. 329-358. | MR | Zbl
-[14] Les algèbres d'opérateurs dans l'espace Hilbertien, Deuxième édition, Gauthier Villars (1969). | Zbl
-[15] A new polynomial invariant of knots and links, Bull. A.M.S., Vol. 12, n° 2 (April 1985). | MR | Zbl
, , , , and -[16] A new invariant for knots and links, Preprint (Sept. 1985).
and -[17] The braid group and other groups, Quart. J. Math., Oxford 20 (1969), p. 235-254. | MR | Zbl
-[18] On subfactors of type II1 - Mich. Math. J. 7(1960), p. 167-172. | MR | Zbl
-[19] On some Bruhat decomposition and the structure of the Hecke rings of p -adic Chevalley groups, Public. IHES, Vol. 25 (1965), p. 5-48. | Numdam | MR | Zbl
and -[20] L'indice des sous-facteurs de type II1, C.R. Ac. Sci. Paris, t. 286(1977), p. 597-598. | MR | Zbl
-[21] A polynomial invariant for knots via von Neumann Algebras, Bull. Amer. Math. Soc. 12(1985), p. 103-112. | MR | Zbl
-[22] Groupes de tresses, algèbres de Hecke et facteurs de type II1, C.R. Ac. Sci. Paris, t. 298, Sér. I, n° 20 (1984). | MR | Zbl
-[23] Index for subfactors, Invent. Math. 72(1983), p. 1-25. | MR | Zbl
-[24] Braid groups, Hecke algebras and type II1 factors, Proc. Japan-US Conf. (1983), (Preprint). | Zbl
-[25] Sur la conjugaison des sous-facteurs des facteurs de type II1, C.R. Ac. Sc. Paris, t. 286(1977), p. 597-598. | MR | Zbl
-[26] A geometric interpretation of the generalized polynomial, Preprint (1985).
-[27] Representations of Coxeter groups and Hecke algebras, Invent. Math. 53(1979), p. 165-184. | MR | Zbl
and -[28] Schubert varieties and Poinearé duality, Proc. Symp. Pure Math., Vol. 36(1980). | MR | Zbl
and -[29] Extension of Jones' theory of index to arbitrary factors, Preprint MSRI, Berkeley, 1985. | MR
-[30] Sur l'invariant de Kervaire pour les noeuds classiques, Preprint, Ecole Polytechnique (1984). | MR
-[31] A polynomial invariant of oriented links, Preprint (January 1985). | MR
and -[32] Prime knots and tangles, Trans. Amer. Math. Soc. 267(1981). | MR | Zbl
-[33] Proc. Royal Soc., London, (1971), p. 251-280. | Zbl
and -[34] Über die freie Aequivalenz geschlossener zopfe, Mat. Sb 1 (1935), p. 73-78. | JFM
-[35] Analyse harmonique dans les systèmes de Tits bornologiques de type affine, Lecture Notes in Math., Springer, Vol. 590(1977). | MR | Zbl
-[36] The Jones polynomial for unoriented links, Preprint, University of Liverpool (1985). | MR
-[37] Threading knot diagrams, Preprint, University of Liverpool. | MR
-[38] Closed braids representatives for a link and its Jones-Conway polynomial, Preprint (1985).
-[39] Jones polynomials of special alternating knots, (Preprint).
-[40] On rings of operators II, Trans. A.M.S. 41 (1937), p. 208-248. | MR | Zbl
and -[41] On rings of operators IV, Ann. Math. 44(1943), p. 716-808. | MR | Zbl
and -[42] A polynomial invariant for knots. A combinatorial and an algebraic approach, Preprint MSRI (1984).
-[43] Entropy and index for subfactors, Preprint INCREST, Bucharest (1983). | MR
and -[44] Invariants of links of Conway type, Preprint, (1985). | MR
and -[45] The spherical traces for Hecke algebras associated to type II1 factors, Preprint IHES (1985).
-[46] Theory of operator algebras I, Berlin, Heidelberg, New York, Springer (1979). | MR | Zbl
-[47] Conditional expectation in an operator algebra I, Tohoku Math. J. 6, (1954), p. 358-362. | MR | Zbl
-[48] A version of the generalized Jones polynomial which is positive for positive knots, Preprint, University of Oregon (1985). | MR
-[49] Automorphic actions of compact groups, Thesis, University of Pennsylvania (1981).
-[50] On sequences of projections, Preprint, University of Pennsylvania (1984). | MR
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