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.
Carpi, S., Conti, R., Hillier, R. (2013). Conformal nets and KK-theory. ANNALS OF FUNCTIONAL ANALYSIS, 4(1), 11-17 [10.15352/afa/1399899832].
Conformal nets and KK-theory
Carpi, S;
2013-01-01
Abstract
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.File in questo prodotto:
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