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Conformal nets and KK-theory

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>01/2013
<mark>Journal</mark>Annals of Functional Analysis
Issue number1
Number of pages7
Pages (from-to)11-17
Publication StatusPublished
<mark>Original language</mark>English


Given a completely rational conformal net A on S1, its fusion ring acts faithfully on the K-group K0(KA) of a certain universal C-algebra KA associated to A, as shown in a previous paper. We prove here that this action can actually be identied with a Kasparov product, thus paving the way for a fruitful interplay between conformal eld theory and KK-theory.