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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Abstract

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/2600/2603

Subjects:

?? operator algebraconformal field theoryconformal netsuperselection sectorfusion ringk-theorykasparov productanalysiscontrol and optimization ??

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:

15 Jul 2024 14:02

URI:

https://eprints.lancs.ac.uk/id/eprint/65219