## Advanced Studies in Pure Mathematics

### Operator Algebras, Topology and Subgroups of Quantum Symmetry – Construction of Subgroups of Quantum Groups –

#### Abstract

In this article, we will discuss several interactions between the non commutative Galois problems, i.e., inclusions of operator algebras and topological quantum field theory in three dimensions. Those interactions are shown to be concretely solved and are related to both the quantum subgroups of the quantum group $SU(2)_N$ at the deformation parameter $q = \exp (2\pi i/N)$.

#### Article information

Dates
First available in Project Euclid: 29 December 2018

https://projecteuclid.org/ euclid.aspm/1546124590

Digital Object Identifier
doi:10.2969/aspm/03110235

Mathematical Reviews number (MathSciNet)
MR1865095

Zentralblatt MATH identifier
1021.46053

#### Citation

Ocneanu, Adrian. Operator Algebras, Topology and Subgroups of Quantum Symmetry – Construction of Subgroups of Quantum Groups –. Taniguchi Conference on Mathematics Nara '98, 235--263, Mathematical Society of Japan, Tokyo, Japan, 2001. doi:10.2969/aspm/03110235. https://projecteuclid.org/euclid.aspm/1546124590