Conformal nets and KK-theory

Carpi, Sebastiano and Conti, Roberto and Hillier, Robin (2013) Conformal nets and KK-theory. Annals of Functional Analysis, 4 (1). pp. 11-17.

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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.

Item Type: Journal Article
Journal or Publication Title: Annals of Functional Analysis
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2606
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 65219
Deposited By: ep_importer_pure
Deposited On: 12 Jun 2013 09:07
Refereed?: Yes
Published?: Published
Last Modified: 19 Feb 2020 08:14

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