Abstract
Given a completely rational conformal net $\mathcal{A}$ on $S^1$, its fusion ring acts faithfully on the K-group $K_0(\mathfrak{K}_{\mathcal{A}})$ of a certain universal $C^*$-algebra $\mathfrak{K}_{\mathcal{A}}$ associated to $\mathcal{A}$, 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.
Citation
Sebastiano Carpi. Roberto Conti. Robin Hillier. "Conformal Nets and KK-Theory." Ann. Funct. Anal. 4 (1) 11 - 17, 2013. https://doi.org/10.15352/afa/1399899832
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