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Index for subfactors
A polynomial invariant for knots via von Neumann algebras
Thus, the trivial link with n components is represented by the pair (l ,n), and the unknot is represented by (si$2 * * • s n i , n) for any n, where si, $2, • • • > sn_i are the usual generators forExpand
On knot invariants related to some statistical mechanical models
On utilise trois sortes differentes de modeles de mecanique statistique pour construire des invariants de nœuds. Les modeles de sommets emergent comme les plus generaux
Planar algebras, I
We introduce a notion of planar algebra, the simplest example of which is a vector space of tensors, closed under planar contractions. A planar algebra with suitable positivity properties produces aExpand
Introduction to subfactors
Subfactors have been a subject of considerable research activity for about fifteen years and are known to have significant relations with other fields such as low dimensional topology and algebraicExpand
Algebras associated to intermediate subfactors
Abstract.The Temperley-Lieb algebras are the fundamental symmetry associated to any inclusion of ${\hbox{\uppercase\expandafter {\romannumeral2}}}_1$ factors $N \subset M$ with finite index. WeExpand
Von Neumann Algebras
For every selfadjoint operator T in the Hilbert space H, f(T) makes sense not only in the obvious case where / is a polynomial but also if / is just measurable, and if fn(x)-+f(x) for all x£R (withExpand
A Polynomial Quantum Algorithm for Approximating the Jones Polynomial
TLDR
We provide an explicit and simple quantum algorithm to approximate the Jones polynomial of an n strands braid with m crossings at any primitive root of unity e2πi/k. Expand
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