Quantum Galois groups of subfactors

Article Type

Research Article

Publication Title

International Journal of Mathematics

Abstract

For a finite-index II1 subfactor N , M, we prove the existence of a universal Hopf -algebra (or, a discrete quantum group in the analytic language) acting on M in a trace-preserving fashion and fixing N pointwise. We call this Hopf- algebra the quantum Galois group for the subfactor and compute it in some examples of interest, notably for arbitrary irreducible finite-index depth-two subfactors. Along the way, we prove the existence of universal acting Hopf algebras for more general structures (tensors in enriched categories), in the spirit of recent work by Agore, Gordienko and Vercruysse.

DOI

10.1142/S0129167X22500136

Publication Date

2-1-2022

Comments

Open Access, Green

This document is currently not available here.

Share

COinS