On intermediate subfactors of Goodman-de la Harpe-Jones subfactors

Details On intermediate subfactors of Goodman-de la Harpe-Jones subfactors On intermediate subfactors of Goodman-de la Harpe-Jones subfactors

2010-02-14

arxiv.org/abs/1002.2744v1

Mathematics

Operator Algebras

To appear in Comm. Math. Phys

Scientific paper

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.

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