## Proceedings of the Centre for Mathematics and its Applications

- Proc. Centre Math. Appl.
- Proceedings of the 2014 Maui and 2015 Qinhuangdao Conferences in Honour of Vaughan F.R. Jones’ 60th Birthday. Scott Morrison and David Pennys, eds. Proceedings of the Centre for Mathematics and its Applications, v. 46. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 2017), 15 - 24

### The Relation between Subfactors arising from Conformal Nets and the Realization of Quantum Doubles

#### Abstract

We give a precise definition for when a subfactor arises from a conformal net which can be motivated by classification of defects. We show that a subfactor $N \subset M$ arises from a conformal net if there is a conformal net whose representation category is the quantum double of $N \subset M$.

#### Article information

**Dates**

First available in Project Euclid:
21
February
2017

**Permanent link to this document**

https://projecteuclid.org/
euclid.pcma/1487646023

#### Citation

Bischoff, Marcel. The Relation between Subfactors arising from Conformal Nets and the Realization of Quantum Doubles. Proceedings of the 2014 Maui and 2015 Qinhuangdao Conferences in Honour of Vaughan F.R. Jones’ 60th Birthday, 15--24, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 2017. https://projecteuclid.org/euclid.pcma/1487646023