Sous-facteurs intermediaires et groupes quantiques mesures

Journal of Operator Theory

Volumn 42, Issue 2, 1997, Pages 305-330

  Enock, Michel ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

Quantum groups; Subfactors

Indexed keywords

EID: 0000561583     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. S. BAAJ, Représentation régulière du groupe quantique des déplacements de Woronowicz, Astérisque 232(1995), 11-48.
2. S. BAAJ, G. SKANDALIS, Unitaires multiplicatifs et dualité pour les produits croisés de ℂ*-algèbres, Ann. Sci. École Norm. Sup. (4) 26(1993), 425-488.
3. M.-C. DAVID, Paragroupe d'Adrian Ocneanu et algèbre de Kac, Pacific J. Math. 172(1996), 331-362.
4. V.G. DRINFELD, Quantum groups, Proceedings ICM Berkeley, 1986, vol. 1, pp. 798-820.
5. E.G. EFFROS, Z.-J. RUAN, Discrete quantum groups, I: the Haar measure, Internat. J. Math. 5(1994), 681-723.
6. M. ENOCK, Produit croisé d'une algèbre de von Neumann par une algèbre de Kac, J. Funct. Anal. 26(1977), 16-47.
7. M. ENOCK, Inclusions irréductibles de facteurs et unitaires multiplicatifs. II, J. Funct. Anal. 154(1998), 67-109.
8. M. ENOCK, R. NEST, Inclusions of factors, multiplicative unitaries and Kac algebras, J. Funct. Anal. 137(1996), 466-543.
9. M. ENOCK, J.-M. SCHWARTZ, Produit croisé d'une algèbre de von Neumann par une algèbre de Kac. II, Publ. Res. Inst. Math. Sci. 16(1980), 189-232.
10. M. ENOCK, J.-M. SCHWARTZ, Kac Algebras and Duality of Locally Compact Groups, Springer Verlag, Berlin 1992.
11. F.M. GOODMAN, P. DE LA HARPE, V.F.R. JONES, Coxeter Graphs and Towers of Algebras, Math. Sci. Res. Inst. Publ., vol. 14 , Springer Verlag, Berlin 1989.
12. M. IZUMI, R. LONGO, S. POPA, A Galois Correspondance for compact Groups of Automorphisms of von Neumann Algebras with a generalization to Kac Algebras, J. Funct. Anal. 155(1998), 25-63.
13. G.I. KAC, V.G. PALJUTKIN, Primer kol'tsevoi gruppy, porozhdennoi gruppami Li, Ukraïn. Mat. Zh. 16(1964), 99-105.
14. G.I. KAC, V.G. PALJUTKIN, Konechnye kol'tsevie gruppy, Trudy Moskov. Mat. Obshch 15(1966), 224-261; English transl.: Finite ring-groups. Trans. Moscow Math. Soc. 15 (1966), 251-294.
15. G.I. KAC, V.G. PALJUTKIN, Konechnye kol'tsevie gruppy, Trudy Moskov. Mat. Obshch 15(1966), 224-261; English transl.: Finite ring-groups. Trans. Moscow Math. Soc. 15 (1966), 251-294.
16. R. LONGO, A duality for Hopf algebras and subfactors. I, Comm. Math. Phys. 159 (1994), 133-155.
17. T. MASUDA, Y. NAKAGAMI, A von Neumann algebra framework for the duality of the quantum groups, Publ. Res. Inst. Math. Sci. 30(1994), 799-850.
18. T. MASUDA, Y. NAKAGAMI, S.L. WORONOWICZ, lectures at the Fields Institute and at the Banach Institute, 1995.
19. Y. NAKAGAMI, M. TAKESAKI, Duality for Crossed Products of von Neumann Algebras, Lectures Notes in Math., vol. 731, Springer-Verlag, Berlin 1978.
20. A. OCNEANU, A Galois theory for operator algebras, Notes of a UCLA lecture, 1985.
21. G. SKANDALIS, Operator algebras and duality: Proc. ICM Kyoto 1990, vol. 2, 997-1009.
22. Ş. STRǍTILǍ, Modular Theory in Operator Algebras, Abacus Press, Turnbridge Wells, England, 1981.
23. W. SZYMANSKI, Finite index subfactors and Hopf algebras crossed products, Proc. Amer. Math. Soc. 120(1994), 519-528.
24. M. TAKESAKI, N. TATSUUMA, Duality and subgroups, Ann. of Math. 93(1971), 344-364.
25. S.L. WORONOWICZ, Tannaka-Krein duality for compact matrix pseudogroups, Twisted SU (N) group, Invent. Math. 93(1988), 35-76.
26. S.L. WORONOWICZ, Compact quantum group, preprint 1993.
27. S.L. WORONOWICZ, From multiplicative unitaries to quantum groups, Internat. J. Math. 7(1996), 127-149.