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On Sequences of Jones’ Projections

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Mappings of Operator Algebras

Part of the book series: Progress in Mathematics ((PM,volume 84))

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Abstract

In the index theory for finite factors introduced by Jones [3], the following sequence {e i ; i = 1,2,…} of projections plays an important role:

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References

  1. O. Bratteli, Inductive limits of finite dimensional C*-Algebras, Trans. A.M.S. 171, (1972), 195–234.

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  2. F. Goodman, P. de la Harpe, and V. Jones, Coxter-Dynkin diagrams and towers of algebras, preprint, I.H.E.S.

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  3. V. Jones, Index for subfactors, Invent. Math. 72, (1983), 1–25.

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  4. F. Murray and J. von Neumann, On rings of operators, II, Trans. A.M.S. 41, (1937), 208–248.

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  5. M. Pimsner and S. Popa, Entropy and index for subfactors, Ann. Sci. El. Norm. Sup. 19, (1986), 57–106.

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  6. H. Wenzl, Representations of Hecke algebras and subfactors, Thesis, University of Pennsylvania.

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© 1991 Springer Science+Business Media New York

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Choda, M. (1991). On Sequences of Jones’ Projections. In: Araki, H., Kadison, R.V. (eds) Mappings of Operator Algebras. Progress in Mathematics, vol 84. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0453-4_9

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  • DOI: https://doi.org/10.1007/978-1-4612-0453-4_9

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6767-6

  • Online ISBN: 978-1-4612-0453-4

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