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Quantum and Non-Commutative Analysis pp 331–333Cite as

Lattice Structure of Intermediate Subfactors

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Part of the Mathematical Physics Studies book series (MPST,volume 16)

Abstract

Any irreducible subfactor of finite index has only finitely many intermediate subfactors. Any finte lattice with at most five elements can be realized as an intermediate subfactor lattice.

Key words

  • subfactor
  • intermediate subfactor
  • lattice
  • modular identity

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Author information

Authors and Affiliations

  1. Department of Mathematics, Hokkaido University, Sapporo, 060, Japan

    Yasuo Watatani

Authors
  1. Yasuo Watatani
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Editor information

Editors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, 606-01, Sakyo-ku, Kyoto, Japan

    Huzihiro Araki

  2. Department of Mathematics and Information, College of Liberal Arts, Kyoto University, Sakyo-ku, Yoshida Kyoto 606, Japan

    Keiichi R. Ito

  3. Department of Mathematics Faculty of Science, Hokkaido University, Sapporo 060, Japan

    Akitaka Kishimoto

  4. Research Institute for Mathematical Sciences, Kyoto University, 606-01, Kyoto, Japan

    Izumi Ojima

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© 1993 Springer Science+Business Media Dordrecht

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Watatani, Y. (1993). Lattice Structure of Intermediate Subfactors. In: Araki, H., Ito, K.R., Kishimoto, A., Ojima, I. (eds) Quantum and Non-Commutative Analysis. Mathematical Physics Studies, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2823-2_26

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  • DOI: https://doi.org/10.1007/978-94-017-2823-2_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4334-4

  • Online ISBN: 978-94-017-2823-2

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