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# Papers

## Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models

Sebastiano Carpi, Tiziano Gaudio, Robin Hillier
October 24, 2018

## Positive energy representations of Sobolev diffeomorphism groups of the circle

Sebastiano Carpi, Simone Del Vecchio, Stefano Iovieno, Yoh Tanimoto
August 07, 2018

## Operator algebras and vertex operator algebras

Sebastiano Carpi
March 22, 2016

## Loop groups and noncommutative geometry

Sebastiano Carpi, Robin Hillier
September 09, 2015

## From vertex operator algebras to conformal nets and back

Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo, Mihaly Weiner
March 04, 2015

open access link
Memoirs of the American Mathematical Society 254 (2018), no. 1213,
vi + 85
## Superconformal nets and noncommutative geometry

Sebastiano Carpi, Robin Hillier, Roberto Longo
April 15, 2013

## $N=2$ superconformal nets

Sebastiano Carpi, Robin Hillier, Yasuyuki Kawahigashi, Roberto Longo, Feng Xu
July 10, 2012

## Conformal nets and KK-theory

Sebastiano Carpi, Roberto Conti, Robin Hillier
May 29, 2012

## How to add a boundary condition

Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo
May 17, 2012

## Representations of Conformal Nets, Universal C*-Algebras and K-Theory

Sebastiano Carpi, Roberto Conti, Robin Hillier, Mihaly Weiner
February 12, 2012

to appear in Commun. Math. Phys.