Indice des sous facteurs, algèbres de Hecke et théorie des noeuds
Séminaire Bourbaki : volume 1984/85, exposés 633-650, Astérisque, no. 133-134 (1986), Exposé no. 647, 20 p.

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Connes, A. Indice des sous facteurs, algèbres de Hecke et théorie des noeuds, dans Séminaire Bourbaki : volume 1984/85, exposés 633-650, Astérisque, no. 133-134 (1986), Exposé no. 647, 20 p.. http://geodesic.mathdoc.fr/item/SB_1984-1985__27__289_0/
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[1] J. W. Alexander - A lemma on systems of knotted curves, Proc. Nat. Acad. 9(1923), p. 93-95. | JFM

[2] J. W. Alexander - Topological invariants of knots and links, Trans. Amer. Math. Soc. 30(1928), p. 275-306. | MR | JFM

[3] E. Artin - Theorie der Zopfe, Hamburg, Abh 9, p. 47-72. | JFM

[4] R. J. Baxter - Exactly solved models in statistical mechanics, Acad. Press, London (1982). | Zbl | MR

[5] D. Bennequin - Entrelacements et structures de contact, Thèse, Paris (1982).

[6] J. Birman - Braids, links and mapping class groups, Ann. Math. Studies, 82(1974). | Zbl | MR

[7] J. Birman - On the Jones polynomial of the closed 3 braids, (Preprint). | MR

[8] N. Bourbaki - Groupes et Algèbres de Lie, Chap. 4, 5, 6, n° 1337, Hermann, Paris, 1960-1972. | Zbl

[9] O. Bratelli - Inductive limits of finite dimensional C* algebras, Trans. AMS 171(1972), p. 195-234. | Zbl | MR

[10] E. Brieskorn - Sur les groupes de tresses, Sém. Bourbaki n° 401, 1971-1972. | Zbl | Numdam

[11] F. Bruhat et J. Tits - Groupes réductifs sur un corps local, Ch. 1, Publ. IHES, Vol. 41 (1972). | Zbl | MR | Numdam

[12] W. Burau - Über Zopfgruppen und gleichsinning verdrillte verkettunger, Abh. Math. Sem. Hanischen Univ. 11(1936), p. 171-178. | Zbl

[13] J. H. Conway - An enumeration of knots and links, computational problems inAbstract Algebra, Pergamon, N.Y. (1970), p. 329-358. | Zbl | MR

[14] J. Dixmier - Les algèbres d'opérateurs dans l'espace Hilbertien, Deuxième édition, Gauthier Villars (1969). | Zbl

[15] P. Freyd, D. Yetter, J. Hoste, W. B. R. Lickorish, K. Millett and A. Ocneanu - A new polynomial invariant of knots and links, Bull. A.M.S., Vol. 12, n° 2 (April 1985). | Zbl | MR

[16] P. Freyd and D. Yetter - A new invariant for knots and links, Preprint (Sept. 1985).

[17] F. Garside - The braid group and other groups, Quart. J. Math., Oxford 20 (1969), p. 235-254. | Zbl | MR

[18] M. Goldman - On subfactors of type II1 - Mich. Math. J. 7(1960), p. 167-172. | Zbl | MR

[19] N. Iwahori and H. Matsumoto - On some Bruhat decomposition and the structure of the Hecke rings of p -adic Chevalley groups, Public. IHES, Vol. 25 (1965), p. 5-48. | Zbl | MR | Numdam

[20] V. Jones - L'indice des sous-facteurs de type II1, C.R. Ac. Sci. Paris, t. 286(1977), p. 597-598. | Zbl | MR

[21] V. Jones - A polynomial invariant for knots via von Neumann Algebras, Bull. Amer. Math. Soc. 12(1985), p. 103-112. | Zbl | MR

[22] V. Jones - Groupes de tresses, algèbres de Hecke et facteurs de type II1, C.R. Ac. Sci. Paris, t. 298, Sér. I, n° 20 (1984). | Zbl | MR

[23] V. Jones - Index for subfactors, Invent. Math. 72(1983), p. 1-25. | Zbl | MR

[24] V. Jones - Braid groups, Hecke algebras and type II1 factors, Proc. Japan-US Conf. (1983), (Preprint). | Zbl

[25] V. Jones - Sur la conjugaison des sous-facteurs des facteurs de type II1, C.R. Ac. Sc. Paris, t. 286(1977), p. 597-598. | Zbl | MR

[26] L. H. Kauffman - A geometric interpretation of the generalized polynomial, Preprint (1985).

[27] D. Kazhdan and G. Lusztig - Representations of Coxeter groups and Hecke algebras, Invent. Math. 53(1979), p. 165-184. | Zbl | MR

[28] D. Kazhdan and G. Lusztig - Schubert varieties and Poinearé duality, Proc. Symp. Pure Math., Vol. 36(1980). | Zbl | MR

[29] H. Kosaki - Extension of Jones' theory of index to arbitrary factors, Preprint MSRI, Berkeley, 1985. | MR

[30] J. Lannes - Sur l'invariant de Kervaire pour les noeuds classiques, Preprint, Ecole Polytechnique (1984). | MR

[31] W. B. R. Lickorish and K. C. Millett - A polynomial invariant of oriented links, Preprint (January 1985). | MR

[32] W. B. R. Lickorish - Prime knots and tangles, Trans. Amer. Math. Soc. 267(1981). | Zbl | MR

[33] H. N. V. Tempercey and E. H. Lieb - Proc. Royal Soc., London, (1971), p. 251-280. | Zbl

[34] A. A. Markov - Über die freie Aequivalenz geschlossener zopfe, Mat. Sb 1 (1935), p. 73-78. | JFM

[35] H. Matsumoto - Analyse harmonique dans les systèmes de Tits bornologiques de type affine, Lecture Notes in Math., Springer, Vol. 590(1977). | Zbl | MR

[36] H. R. Morton - The Jones polynomial for unoriented links, Preprint, University of Liverpool (1985). | MR

[37] H. R. Morton - Threading knot diagrams, Preprint, University of Liverpool. | MR

[38] H. R. Morton - Closed braids representatives for a link and its Jones-Conway polynomial, Preprint (1985).

[39] K. Murasugi - Jones polynomials of special alternating knots, (Preprint).

[40] F. Murray and J. Von Neumann - On rings of operators II, Trans. A.M.S. 41 (1937), p. 208-248. | Zbl | MR

[41] F. Murray and J. Von Neumann - On rings of operators IV, Ann. Math. 44(1943), p. 716-808. | Zbl | MR

[42] A. Ocneanu - A polynomial invariant for knots. A combinatorial and an algebraic approach, Preprint MSRI (1984).

[43] M. Pimsner and S. Popa - Entropy and index for subfactors, Preprint INCREST, Bucharest (1983). | MR

[44] J. H. Przytycki and P. Traczyk - Invariants of links of Conway type, Preprint, (1985). | MR

[45] B. Seifert - The spherical traces for Hecke algebras associated to type II1 factors, Preprint IHES (1985).

[46] M. Takesaki - Theory of operator algebras I, Berlin, Heidelberg, New York, Springer (1979). | Zbl | MR

[47] H. Umegaki - Conditional expectation in an operator algebra I, Tohoku Math. J. 6, (1954), p. 358-362. | Zbl | MR

[48] J. Van Buskirk - A version of the generalized Jones polynomial which is positive for positive knots, Preprint, University of Oregon (1985). | MR

[49] A. Wassermann - Automorphic actions of compact groups, Thesis, University of Pennsylvania (1981).

[50] H. Wenzl - On sequences of projections, Preprint, University of Pennsylvania (1984). | MR