[BS] S. Baaj and G. Skandalis, Unitaires multiplicatifs et dualité pour les produits croisés de $C\sp *$-algèbres, Ann. Sci. École Norm. Sup. (4) 26 (1993), no. 4, 425–488.
[BB] E. Bannai and E. Bannai, Spin models on finite cyclic groups, J. Algebraic Combin. 3 (1994), no. 3, 243–259.
[BR] O. Bratteli and D. W. Robinson, Operator algebras and quantum-statistical mechanics. II, Springer-Verlag, New York, 1981.
[CDPR] T. Ceccherini, S. Doplicher, C. Pinzari, and J. E. Roberts, A generalization of the Cuntz algebras and model actions, J. Funct. Anal. 125 (1994), no. 2, 416–437.
[Ch1] M. Choda, Extension algebras via $\sp *$-endomorphisms, Subfactors (Kyuzeso, 1993), World Sci. Publishing, River Edge, NJ, 1994, pp. 105–128.
[Ch2] M. Choda, Square roots of the canonical shifts, J. Operator Theory 31 (1994), no. 1, 145–163.
[Cu1] J. Cuntz, Simple $C\sp*$-algebras generated by isometries, Comm. Math. Phys. 57 (1977), no. 2, 173–185.
[Cu2] J. Cuntz, $K$-theory for certain $C\sp\ast$-algebras, Ann. of Math. (2) 113 (1981), no. 1, 181–197.
[Cu3] J. Cuntz, Regular actions of Hopf algebras on the $C\sp \ast$-algebra generated by a Hilbert space, Operator algebras, mathematical physics, and low-dimensional topology (Istanbul, 1991), Res. Notes Math., vol. 5, A K Peters, Wellesley, MA, 1993, pp. 87–100.
[CK] J. Cuntz and W. Krieger, A class of $C\sp\ast$-algebras and topological Markov chains, Invent. Math. 56 (1980), no. 3, 251–268.
[D] M.-C. David, Paragroupe d'Adrian Ocneanu et algèbre de Kac, Pacific J. Math. 172 (1996), no. 2, 331–363.
[DR] S. Doplicher and J. E. Roberts, Duals of compact Lie groups realized in the Cuntz algebras and their actions on $C\sp \ast$-algebras, J. Funct. Anal. 74 (1987), no. 1, 96–120.
[EN] M. Enock and R. Nest, Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras, J. Funct. Anal. 137 (1996), no. 2, 466–543.
[ES] M. Enock and J.-M. Schwartz, Kac Algebras and Duality of Locally Compact Groups, Springer-Verlag, Berlin, 1992.
[EK] D. E. Evans and Y. Kawahigashi, Orbifold subfactors from Hecke algebras, Comm. Math. Phys. 165 (1994), no. 3, 445–484.
[FRS] K. Fredenhagen, K.-H. Rehren, and B. Schroer, Superselection sectors with braid group statistics and exchange algebras. I. General theory, Comm. Math. Phys. 125 (1989), no. 2, 201–226.
[GJ] D. M. Goldschmidt and V. F. R. Jones, Metaplectic link invariants, Geom. Dedicata 31 (1989), no. 2, 165–191.
[GHJ] F. Goodman, P. de la Harpe, and V. Jones, Coxeter graphs and towers of algebras, Mathematical Sciences Research Institute Publications, vol. 14, Springer-Verlag, New York, 1989.
[HO] R. Herman and A. Ocneanu, Index theory and Galois theory for infinite index inclusions of factors, C. R. Acad. Sci. Paris Sér. I Math. 309 (1989), no. 17, 923–927.
[H] F. Hiai, Minimizing indices of conditional expectations onto a subfactor, Publ. Res. Inst. Math. Sci. 24 (1988), no. 4, 673–678.
[I1] M. Izumi, Application of fusion rules to classification of subfactors, Publ. Res. Inst. Math. Sci. 27 (1991), no. 6, 953–994.
[I2] M. Izumi, Goldman's type theorem for index $3$, Publ. Res. Inst. Math. Sci. 28 (1992), no. 5, 833–843.
[I3] M. Izumi, Subalgebras of infinite $C\sp *$-algebras with finite Watatani indices. I. Cuntz algebras, Comm. Math. Phys. 155 (1993), no. 1, 157–182.
[I4] M. Izumi, Goldman's type theorems in index theory, in Proc. of Operator Algebras and Quantum Field Theory, to appear.
[IK] M. Izumi and Y. Kawahigashi, Classification of subfactors with the principal graph $D\sp (1)\sb n$, J. Funct. Anal. 112 (1993), no. 2, 257–286.
[J] V. Jones, Index for subfactors, Invent. Math. 72 (1983), no. 1, 1–25.
[KP] G. I. Kac and V. G. Paljutkin, Finite ring groups, Trudy Moskov. Mat. Obšč. 15 (1966), 224–261, trans. in Trans. Moscow Math. Soc. (1966), 251–294.
[KW] T. Kajiwara and Y. Watatani, Jones index theory by Hilbert modules and $K$-theory, preprint, 1995.
[Ka1] Y. Kawahigashi, On flatness of Ocneanu's connections on the Dynkin diagrams and classification of subfactors, J. Funct. Anal. 127 (1995), no. 1, 63–107.
[Ka2] Y. Kawahigashi, Classification of paragroup actions in subfactors, Publ. Res. Inst. Math. Sci. 31 (1995), no. 3, 481–517.
[Ki] E. Kirchberg, The classification of purely infinite $C^\ast$-algebras using Kaspalov's theory, preprint.
[Ko] H. Kosaki, Extension of Jones' theory on index to arbitrary factors, J. Funct. Anal. 66 (1986), no. 1, 123–140.
[KL] H. Kosaki and R. Longo, A remark on the minimal index of subfactors, J. Funct. Anal. 107 (1992), no. 2, 458–470.
[L1] R. Longo, Index of subfactors and statistics of quantum fields. I, Comm. Math. Phys. 126 (1989), no. 2, 217–247.
[L2] R. Longo, Index of subfactors and statistics of quantum fields. II. Correspondences, braid group statistics and Jones polynomial, Comm. Math. Phys. 130 (1990), no. 2, 285–309.
[L3] R. Longo, Simple injective subfactors, Adv. in Math. 63 (1987), no. 2, 152–171.
[L4] R. Longo, Minimal index and braided subfactors, J. Funct. Anal. 109 (1992), no. 1, 98–112.
[L5] R. Longo, A duality for Hopf algebras and for subfactors. I, Comm. Math. Phys. 159 (1994), no. 1, 133–150.
[LR] R. Longo and J. E. Roberts, A theory of dimension, $K$-Theory 11 (1997), no. 2, 103–159.
[MRS] M. H. Mann, I. Raeburn, and C. E. Sutherland, Representations of finite groups and Cuntz-Krieger algebras, Bull. Austral. Math. Soc. 46 (1992), no. 2, 225–243.
[O1] A. Ocneanu, Quantized groups, string algebras and Galois theory for algebras, Operator algebras and applications, Vol. 2, London Math. Soc. Lecture Note Ser., vol. 136, Cambridge Univ. Press, Cambridge, 1988, pp. 119–172.
[O2] A. Ocneanu, Graph geometry, quantized group, and amenable subfactors, June-July 1989, Lake Tahoe Lectures.
[O3] A. Ocneanu, Quantum symmetry, differential geometry of finite graphs, and classification of subfactors, University of Tokyo Seminar Notes, 1990, (notes recorded by Y. Kawahigashi).
[O4] A. Ocneanu, An invariant coupling between $3$-manifold and subfactors, with connections to topological and conformal quantum field theory, unpublished announcement, 1991.
[Pa] W. Paschke, The crossed product of a $C\sp\ast$-algebra by an endomorphism, Proc. Amer. Math. Soc. 80 (1980), no. 1, 113–118.
[PS] D. A. Pask and C. E. Sutherland, Filtered inclusions of path algebras; a combinatorial approach to Doplicher-Roberts duality, J. Operator Theory 31 (1994), no. 1, 99–121.
[PP] M. Pimsner and S. Popa, Entropy and index for subfactors, Ann. Sci. École Norm. Sup. (4) 19 (1986), no. 1, 57–106.
[Pi] C. Pinzari, private communication.
[Po] S. Popa, Classification of amenable subfactors of type II, Acta Math. 172 (1994), no. 2, 163–255.
[R1] M. Rørdam, Classification of Cuntz-Krieger algebras, $K$-Theory 9 (1995), no. 1, 31–58.
[R2] M. Rørdam, Classification of certain infinite simple $C\sp *$-algebras, J. Funct. Anal. 131 (1995), no. 2, 415–458.
[S] N. Sato, Fourier transform for paragroups and its application to the depth two case, Publ. Res. Inst. Math. Sci. 33 (1997), no. 2, 189–222.
[Sy] W. Szymański, Finite index subfactors and Hopf algebra crossed products, Proc. Amer. Math. Soc. 120 (1994), no. 2, 519–528.
[W] Y. Watatani, Index for $C\sp *$-subalgebras, Mem. Amer. Math. Soc. 83 (1990), no. 424, vi+117.
[We] H. Wenzl, Hecke algebras of type $A\sb n$ and subfactors, Invent. Math. 92 (1988), no. 2, 349–383.
[Wo] S. L. Woronowicz, Compact matrix pseudogroups, Comm. Math. Phys. 111 (1987), no. 4, 613–665.
[Y1] S. Yamagami, A note on Ocneanu's approach to Jones' index theory, Internat. J. Math. 4 (1993), no. 5, 859–871.
[Y2] S. Yamagami, On Ocneanu's characterization of crossed products, preprint.