References
Anantharaman-Delaroche, C.: On Connes' property T for von Neumann algebras. Math.-Japon.32, 337–355 (1987)
Boca, F.: On the method of constructing irreducible finite index subfactors of Popa. U.C.L.A., 1991 (Preprint)
Connes, A.: Un facteur du typeII 1 avec le groupe fondamentale denombrable. J. Oper. Theory4, 151–153 (1980)
Connes, A.: Factors of typeIII 1, PropertyL′λ and closure of inner automorphisms. J. Oper. Theory14, 189–211 (1985)
Connes, A., Jones, V.F.R.: Property T vor von Neumann algebras. Bull. London Math Soc.17, 57–62 (1985)
Diximier, J.: Les Algèbres des operateurs dans l'espaces hilbertien Paris, Gauthier-Villard, 1969
Dykema, K.: On certain free product factors via an extended matrix model. J. Funct. Analysis112, 31–60 (1993)
Dykema, K.: Interpolated free group factors. Pac. J. Math. (1992) (to appear)
Haagerup, U.: Connes' bicentralizer problem and uniqueness of the injective factor of typeIII 1. Acta Math.158, 95–147 (1987)
Haagerup, U., Schou, J.: Some new subfactors of the hyperfiniteII 1 factor. Institute Mittag-Leffler, Report No. 8, 1988/1989, January 89
Jones, V.F.R.: Index of subfactors. Invent Math.72, 1–25 (1983)
Jones, V.F.R., Goodman, F., Piere de la Harpe: Coxeter graphs and tower of algebras. Math. Sci. Research Institute Publ., vol. 14, Springer, Berlin Heidelberg New York, 1989
Jones, V.F.R.: Subfactors and related topics. Operator Alg. and Appl., vol 2. London Math. Soc., Lect. Notes Series, 136, 103–118 (1988)
Kadison, R.V.: List of open problems, Baton Rouge Conference, 1967 (unpublished)
Magnus, W., Karass, A., Solitar, D.: Combinatorial Group Theory, Intersc. Publ., New York, 1967
Murray, F.J., von Neumann, J.: On ring of operators IV. Ann. Math.44, 716–808 (1943)
Ocneanu, A.: Quantized groups, string algebras and Galois theory for algebras. Operator Alg. and Appl., vol 2. London Math. Soc., Lect. Notes Series, 136, 119–172 (1988)
Pimsner, M., Popa, S.: Entropy and index for subfactors. Anales d'Ecoles Normales Sup., tome IV, Ser 19, pp. 57–106 (1986)
Pimsner, M., Popa, S.: Sur les sous facteurs d'indice fini d'un facteur fini ayant la propriete T. C.R. Acad. Sci. Paris,303, 359–362 (1986)
Popa, S.: Classification of subfactors; reduction to commuting squares. Invent. Math.101, 19–43 (1990)
Popa, S.: Classification of amenable subfactors. I.H.E.S., September 1991 (Preprint)
Popa, S.: Markov traces on the universal Jones algebras and subfactors of finite index. I.H.E.S., June 1991 (Preprint)
Râdulescu, F.: The fundamental group of % (F ∞) isR +/0. J. Am. Math. Soc.5 517–532 (1992)
Râdulescu, F.: A one parameter group of automorphisms of % (F ∞)⊗B(H) scaling the trace byt. C. R. Acad. Sci. Paris, Serie I, pp. 1027–1032, 1992
Râdulescu, F.: Stable Isomorphism of the weak closure of the weak algebras associated to free groups with finitely many generators. I.H.E.S., 1991 (Preprint); Comm. Math. Phys. (to appear)
Schou, J.: Thesis, University of Odensee, Odensee, 1992
Takesaki, M.: Operator Algebras. vol I, II, Springer, Berlin Heidelberg New York, 1988
Voiculescu, D.: Circular and semicircular systems and free product factors, Operator Algebras, Unitary Representations, Enveloping Algebras. Progr. Math., vol. 92, Birkhauser, Boston Basel, 1990, pp. 45–60
Voiculescu, D.: Limit laws for random matrices and free product factors. Invent. Math.104, 201–220 (1991)
Voiculescu, D.: Operations on certain non-commutative operator valued random variables. INCREST No. 42/1986, Bucharest (Preprint)
Wenzl, H.: Hecke Algebras of typeA n and subfactors. Invent. Math.92, 349–383 (1988)
Wigner, E.: On the distribution of roots of certain symmetric matrices with infinite dimensions. Ann. Math.62, 548–564 (1955)
Author information
Authors and Affiliations
Additional information
Oblatum VII-1992 & 7-VI-1993
Research supported by a combined fellowship from University of California Los Angeles and Institut des Hautes Etudes Scientifiques
Rights and permissions
About this article
Cite this article
Râdulescu, F. Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index. Invent Math 115, 347–389 (1994). https://doi.org/10.1007/BF01231764
Issue Date:
DOI: https://doi.org/10.1007/BF01231764