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Volumn 13, Issue 5, 2001, Pages 603-674

The structure of sectors associated with Longo-Rehren inclusions II. Examples

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EID: 0035626715     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X01000818     Document Type: Article
Times cited : (126)

References (34)
  • 1
    • 0033478706 scopus 로고    scopus 로고
    • Exotic subfactors of finite depth with Jones index (5 + √13)/2 and (5 + √17)/2
    • M. Asaeda and U. Haagerup, "Exotic subfactors of finite depth with Jones index (5 + √13)/2 and (5 + √17)/2", Commun. Math. Phys. 202 (1999) 1-63.
    • (1999) Commun. Math. Phys. , vol.202 , pp. 1-63
    • Asaeda, M.1    Haagerup, U.2
  • 2
    • 0039648504 scopus 로고    scopus 로고
    • Localized endomorphisms of the chiral Ising model
    • J. Böckenhauer, "Localized endomorphisms of the chiral Ising model", Comm. Math. Phys. 177 (1996) 265-304.
    • (1996) Comm. Math. Phys. , vol.177 , pp. 265-304
    • Böckenhauer, J.1
  • 3
    • 0040843697 scopus 로고    scopus 로고
    • Modular invariants, graphs and α-induction for nets of subfactors I. II. III.
    • J Böckenhauer and D. Evans, ̈Modular invariants, graphs and α-induction for nets of subfactors I. II. III.", Commun. Math. Phys. 197 (1998) 361-386; 200 (1999) 57-103; 205 (1999) 183-228.
    • (1998) Commun. Math. Phys. , vol.197 , pp. 361-386
    • Böckenhauer, J.1    Evans, D.2
  • 4
    • 0040843697 scopus 로고    scopus 로고
    • J Böckenhauer and D. Evans, ̈Modular invariants, graphs and α-induction for nets of subfactors I. II. III.", Commun. Math. Phys. 197 (1998) 361-386; 200 (1999) 57-103; 205 (1999) 183-228.
    • (1999) Commun. Math. Phys. , vol.200 , pp. 57-103
  • 5
    • 0033174168 scopus 로고    scopus 로고
    • J Böckenhauer and D. Evans, ̈Modular invariants, graphs and α-induction for nets of subfactors I. II. III.", Commun. Math. Phys. 197 (1998) 361-386; 200 (1999) 57-103; 205 (1999) 183-228.
    • (1999) Commun. Math. Phys. , vol.205 , pp. 183-228
  • 6
    • 0034259847 scopus 로고    scopus 로고
    • Modular invariants from subfactors: Type I coupling matrices and intermediate subfactors
    • J. Böckenhauer and D. Evans, "Modular invariants from subfactors: type I coupling matrices and intermediate subfactors", Commun. Math. Phys. 213 (2000) 267-289.
    • (2000) Commun. Math. Phys. , vol.213 , pp. 267-289
    • Böckenhauer, J.1    Evans, D.2
  • 7
    • 0033235137 scopus 로고    scopus 로고
    • On α-induction, chiral generators and modular invariants for subfactors
    • J. Böckenhauer, D. Evans and Y. Kawahigashi, "On α-induction, chiral generators and modular invariants for subfactors", Commun. Math. Phys. 208 (1999) 429-487.
    • (1999) Commun. Math. Phys. , vol.208 , pp. 429-487
    • Böckenhauer, J.1    Evans, D.2    Kawahigashi, Y.3
  • 8
    • 0034349894 scopus 로고    scopus 로고
    • Chiral structure of modular invariants for subfactors
    • J. Böckenhauer, D. Evans and Y. Kawahigashi, "Chiral structure of modular invariants for subfactors", Commun. Math. Phys. 210 (2000) 733-784.
    • (2000) Commun. Math. Phys. , vol.210 , pp. 733-784
    • Böckenhauer, J.1    Evans, D.2    Kawahigashi, Y.3
  • 10
    • 0000608702 scopus 로고
    • On Ocneanu's theory of asymptotic inclusions for subfactors, topological quantum field theories and quantum doubles
    • D. E. Evans and Y. Kawahigashi, "On Ocneanu's theory of asymptotic inclusions for subfactors, topological quantum field theories and quantum doubles", Int. J. Math. 6 (1995) 205-228.
    • (1995) Int. J. Math. , vol.6 , pp. 205-228
    • Evans, D.E.1    Kawahigashi, Y.2
  • 11
    • 0032359503 scopus 로고    scopus 로고
    • Orbifold subfactors from Hecke algebras II: Quantum double and braiding
    • D. E. Evans and Y. Kawahigashi, "Orbifold subfactors from Hecke algebras II: quantum double and braiding", Commun. Math. Phys. 196 (1998) 331-361.
    • (1998) Commun. Math. Phys. , vol.196 , pp. 331-361
    • Evans, D.E.1    Kawahigashi, Y.2
  • 13
    • 0002858285 scopus 로고
    • Principal graphs of subfactors in the index range 4 < [M : N] < 3 + √2
    • eds. H. Araki, et al., World Scientific
    • U. Haagerup, "Principal graphs of subfactors in the index range 4 < [M : N] < 3 + √2", pp. 1-38 in Subfactors, eds. H. Araki, et al., World Scientific, 1994.
    • (1994) Subfactors , pp. 1-38
    • Haagerup, U.1
  • 14
    • 21144474847 scopus 로고
    • Subalgebras of infinite C*-algebras with finite Watatani indices I: Cuntz algebras
    • M. Izumi, "Subalgebras of infinite C*-algebras with finite Watatani indices I: Cuntz algebras", Commun. Math. Phys. 155 (1993) 157-182.
    • (1993) Commun. Math. Phys. , vol.155 , pp. 157-182
    • Izumi, M.1
  • 15
    • 0000292843 scopus 로고    scopus 로고
    • Subalgebras of infinite C*-algebras with finite Watatani indices II: Cuntz-Krieger algebras
    • M. Izumi, "Subalgebras of infinite C*-algebras with finite Watatani indices II: Cuntz-Krieger algebras", Duke J. Math. 91 (1998) 409-461.
    • (1998) Duke J. Math. , vol.91 , pp. 409-461
    • Izumi, M.1
  • 16
    • 0034259892 scopus 로고    scopus 로고
    • The structure of Longo-Rehren inclusions I: General theory
    • M. Izumi, "The structure of Longo-Rehren inclusions I: general theory", Commun. Math. Phys. 213 (2000) 127-179.
    • (2000) Commun. Math. Phys. , vol.213 , pp. 127-179
    • Izumi, M.1
  • 18
    • 1842588469 scopus 로고    scopus 로고
    • Finite-dimensional Kac algebras arising from certain group actions on a factor
    • M. Izumi and H. Kosaki, "Finite-dimensional Kac algebras arising from certain group actions on a factor", Int. Math. Res. Notices 8 (1996) 357-370.
    • (1996) Int. Math. Res. Notices , vol.8 , pp. 357-370
    • Izumi, M.1    Kosaki, H.2
  • 21
    • 0011499562 scopus 로고
    • Index of subfactors and statistics of quantum fields I., II.
    • R. Longo, "Index of subfactors and statistics of quantum fields I., II.", Commun. Math. Phys. 126 (1989) 217-247; 130 (1990) 285-309.
    • (1989) Commun. Math. Phys. , vol.126 , pp. 217-247
    • Longo, R.1
  • 22
    • 51249174399 scopus 로고
    • R. Longo, "Index of subfactors and statistics of quantum fields I., II.", Commun. Math. Phys. 126 (1989) 217-247; 130 (1990) 285-309.
    • (1990) Commun. Math. Phys. , vol.130 , pp. 285-309
  • 23
    • 21344494979 scopus 로고
    • Duality for Hopf algebras and for subfactors. I
    • R. Longo, "Duality for Hopf algebras and for subfactors. I", Commun. Math. Phys. 159 (1994) 133-150.
    • (1994) Commun. Math. Phys. , vol.159 , pp. 133-150
    • Longo, R.1
  • 25
    • 0031287767 scopus 로고    scopus 로고
    • An analogue of Longo's canonical endomorphism for bimodule theory and its application to asymptotic inclusions
    • T. Masuda, "An analogue of Longo's canonical endomorphism for bimodule theory and its application to asymptotic inclusions", Int. J. Math. 8 (1997) 249-265.
    • (1997) Int. J. Math. , vol.8 , pp. 249-265
    • Masuda, T.1
  • 27
    • 0345856521 scopus 로고    scopus 로고
    • Galois theory for braided tensor categories and the modular closure
    • M. Müger, "Galois theory for braided tensor categories and the modular closure", Adv. Math. 150 (2000) 151-201.
    • (2000) Adv. Math. , vol.150 , pp. 151-201
    • Müger, M.1
  • 28
    • 0002393186 scopus 로고
    • Chirality for operator algebras
    • eds. H. Araki, et al., World Scientific
    • A. Ocneanu, "Chirality for operator algebras", pp. 39-63 in Subfactors, eds. H. Araki, et al., World Scientific, 1994.
    • (1994) Subfactors , pp. 39-63
    • Ocneanu, A.1
  • 29
    • 0001110696 scopus 로고
    • Symmetric enveloping algebras, amenability and AFD properties for subfactors
    • S. Popa, "Symmetric enveloping algebras, amenability and AFD properties for subfactors", Math. Res. Lett. 1 (1994) 409-425.
    • (1994) Math. Res. Lett. , vol.1 , pp. 409-425
    • Popa, S.1
  • 30
    • 0002286501 scopus 로고
    • Braid group statistics and their superselection rules
    • ed. D. Kastler, World Scientific
    • K.-H. Rehren, "Braid group statistics and their superselection rules," in The algebraic Theory of Superselection Sectors, ed. D. Kastler, World Scientific, 1990.
    • (1990) The Algebraic Theory of Superselection Sectors
    • Rehren, K.-H.1
  • 31
    • 0034349004 scopus 로고    scopus 로고
    • Canonical tensor product subfactors
    • K.-H. Rehren, "Canonical tensor product subfactors", Commun. Math. Phys. 211 (2000) 395-406.
    • (2000) Commun. Math. Phys. , vol.211 , pp. 395-406
    • Rehren, K.-H.1
  • 33
    • 0001717933 scopus 로고    scopus 로고
    • Tensor categories with fusion rules of self-duality for finite abelian groups
    • D. Tambara and S. Yamagami, "Tensor categories with fusion rules of self-duality for finite abelian groups", J. Algebra 209 (1998) 692-707.
    • (1998) J. Algebra , vol.209 , pp. 692-707
    • Tambara, D.1    Yamagami, S.2
  • 34
    • 0032394340 scopus 로고    scopus 로고
    • New braided endomorphisms from conformal inclusion
    • F. Xu, "New braided endomorphisms from conformal inclusion", Commun. Math. Phys. 192 (1998) 345-403.
    • (1998) Commun. Math. Phys. , vol.192 , pp. 345-403
    • Xu, F.1


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