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arXiv · 1205.6393

Conformal nets and KK-theory

Sebastiano Carpi·Roberto Conti·Robin Hillier
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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.

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Sebastiano Carpi, Roberto Conti, Robin Hillier. 2012-05-29. Conformal nets and KK-theory. https://doi.org/10.15352/afa/1399899832

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