Given a completely rational conformal net A on S-1, its fusion ring acts faithfully on the K-group K-0(R-A) of a certain universal C*-algebra R-A 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.

CONFORMAL NETS AND KK-THEORY / Sebastiano, Carpi; Conti, Roberto; Hillier, Robin. - In: ANNALS OF FUNCTIONAL ANALYSIS. - ISSN 2008-8752. - ELETTRONICO. - 4:1(2013), pp. 11-17.

CONFORMAL NETS AND KK-THEORY

CONTI, ROBERTO;
2013

Abstract

Given a completely rational conformal net A on S-1, its fusion ring acts faithfully on the K-group K-0(R-A) of a certain universal C*-algebra R-A 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/489496
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