2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79062We 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 a finite index subfactor of a II_1 factor, and vice versa.122 pagesQuantum AlgebraOperator Algebrastext