Conformal nets and KK-theory
Operator Algebras
2018-10-16 v1 Mathematical Physics
K-Theory and Homology
math.MP
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.
Keywords
Cite
@article{arxiv.1205.6393,
title = {Conformal nets and KK-theory},
author = {Sebastiano Carpi and Roberto Conti and Robin Hillier},
journal= {arXiv preprint arXiv:1205.6393},
year = {2018}
}