On intermediate subfactors of Goodman-de la Harpe-Jones subfactors
Operator Algebras
2015-05-18 v1 Quantum Algebra
Abstract
In this paper we present a conjecture on intermediate subfactors which is a generalization of Wall's conjecture from the theory of finite groups. Motivated by this conjecture, we determine all intermediate subfactors of Goodman-Harpe-Jones subfactors, and as a result we verify that Goodman-Harpe-Jones subfactors verify our conjecture. Our result also gives a negative answer to a question motivated by a conjecture of Aschbacher-Guralnick.
Keywords
Cite
@article{arxiv.1002.2744,
title = {On intermediate subfactors of Goodman-de la Harpe-Jones subfactors},
author = {Feng Xu},
journal= {arXiv preprint arXiv:1002.2744},
year = {2015}
}
Comments
To appear in Comm. Math. Phys