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On Haagerup’s List of Potential Principal Graphs of Subfactors

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Abstract

We show that any graph, in the sequence given by Haagerup in 1991 as that of candidates of principal graphs of subfactors, is not realized as a principal graph except for the smallest two. This settles the remaining case of a previous work of the first author.

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Authors and Affiliations

  1. Department of Mathematics, University of California Riverside, 900 Big Springs Drive, Riverside, CA, 92521, USA

    Marta Asaeda

  2. Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto, 606-8502, Japan

    Seidai Yasuda

Authors
  1. Marta Asaeda
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  2. Seidai Yasuda
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Corresponding author

Correspondence to Marta Asaeda.

Additional information

Communicated by Y. Kawahigashi

The first author was sponsored in part by NSF grant #DMS-0504199.

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Asaeda, M., Yasuda, S. On Haagerup’s List of Potential Principal Graphs of Subfactors. Commun. Math. Phys. 286, 1141–1157 (2009). https://doi.org/10.1007/s00220-008-0588-0

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  • DOI: https://doi.org/10.1007/s00220-008-0588-0

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