Research output: Contribution to Journal/Magazine › Journal article › peer-review
Conformal nets and KK-theory. / Carpi, Sebastiano; Conti, Roberto ; Hillier, Robin.
In: Annals of Functional Analysis, Vol. 4, No. 1, 01.2013, p. 11-17.Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Conformal nets and KK-theory
AU - Carpi, Sebastiano
AU - Conti, Roberto
AU - Hillier, Robin
PY - 2013/1
Y1 - 2013/1
N2 - 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.
AB - 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.
KW - Operator algebra
KW - conformal field theory
KW - conformal net
KW - superselection sector
KW - fusion ring
KW - K-theory
KW - Kasparov product
M3 - Journal article
VL - 4
SP - 11
EP - 17
JO - Annals of Functional Analysis
JF - Annals of Functional Analysis
SN - 2008-8752
IS - 1
ER -