# Conformal nets and KK-theory

May 29, 2012

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.

Keywords:

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