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On Intermediate Subfactors of Goodman-de la Harpe-Jones Subfactors

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of California at Riverside, Riverside, CA, 92521, USA

    Feng Xu

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  1. Feng Xu
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Correspondence to Feng Xu.

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Communicated by Y. Kawahigashi

Supported in part by NSF.

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Xu, F. On Intermediate Subfactors of Goodman-de la Harpe-Jones Subfactors. Commun. Math. Phys. 298, 707–739 (2010). https://doi.org/10.1007/s00220-010-1001-3

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  • DOI: https://doi.org/10.1007/s00220-010-1001-3

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