Conformal nets and KK-theory
  Given a completely rational conformal net A on the circle, its fusion ring acts faithfully on the K_0-group of a certain universal C*-algebra associated to A, as shown in a previous paper. We prove here that this action can actually be identified with a Kasparov product, thus paving the way for a fruitful interplay between conformal field theory and KK-theory. 
Sebastiano Carpi, Roberto Conti and Robin Hillier
math.OA math-ph math.KT math.MP