Indice des sous facteurs, algèbres de Hecke et théorie des noeuds (d’après Vaughan Jones). (Index of subfactors, Hecke algebras and knot theory). (French) Zbl 0597.57005

Connes, A.

Sémin. Bourbaki, 37e année, Vol. 1984/85, Exp. No. 647, Astérisque 133/134, 289-308 (1986).

[For the entire collection see Zbl 0577.00004.]
A survey (for experts in the field) of the Jones-polynomial of a knot and related matters. There are 50 references and 20 theorems.

Reviewer: L.Neuwirth

MSC:

57M25	Knots and links in the \(3\)-sphere (MSC2010)
46L99	Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.)

Keywords:

\(C^*\)-algebras; Jones-polynomial of a knot