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Volumn 4, Issue 1, 2005, Pages 135-173

double crossed products of locally compact quantum groups

Author keywords

locally compact quantum groups; matched pair; quantum subgroup; Radon Nikodym derivative

Indexed keywords


EID: 85012543788     PISSN: 14747480     EISSN: 14753030     Source Type: Journal    
DOI: 10.1017/S1474748005000034     Document Type: Article
Times cited : (51)

References (24)
  • 1
    • 0002770743 scopus 로고
    • Représentation régulière du groupe quantique des déplacements de Woronowicz
    • S. Baaj, Représentation régulière du groupe quantique des déplacements de Woronowicz, Astérisque 232 (1995), 11–48.
    • (1995) Astérisque , vol.232 , pp. 11-48
    • Baaj, S.1
  • 2
    • 0000641403 scopus 로고
    • Unitaires multiplicatifs et dualité pour les produits croisés de C∗-algèbres
    • S. Baaj and G. Skandalis, Unitaires multiplicatifs et dualité pour les produits croisés de C∗-algèbres, Annls Sci. Ec. Norm. Super. 26 (1993), 425–488.
    • (1993) Annls Sci. Ec. Norm. Super , vol.26 , pp. 425-488
    • Baaj, S.1    Skandalis, G.2
  • 3
    • 0038271922 scopus 로고    scopus 로고
    • Non-semi-regular quantum groups coming from number theory
    • S. Baaj, G. Skandalis and S. Vaes, Non-semi-regular quantum groups coming from number theory, Commun. Math. Phys. 235 (2003), 139–167.
    • (2003) Commun. Math. Phys , vol.235 , pp. 139-167
    • Baaj, S.1    Skandalis, G.2    Vaes, S.3
  • 4
    • 0040128734 scopus 로고
    • ICM, Berkeley, CA, USA, 1986 American Mathematical Society, Providence, RI
    • V. G. Drinfel'd, Quantum groups, in Proc. ICM, Berkeley, CA, USA, 1986, pp. 798–820 (American Mathematical Society, Providence, RI, 1987).
    • (1987) Quantum groups, in Proc , pp. 798-820
    • Drinfel'd, V.G.1
  • 6
    • 0002274813 scopus 로고
    • Operator-valued weights in von Neumann algebras
    • U. Haagerup, Operator-valued weights in von Neumann algebras, I, J. Funct. Analysis 32 (1979), 175–206.
    • (1979) J. Funct. Analysis , vol.1 , Issue.32 , pp. 175-206
    • Haagerup, U.1
  • 7
    • 0035534824 scopus 로고    scopus 로고
    • Locally compact quantum groups in the universal setting
    • J. Kustermans, Locally compact quantum groups in the universal setting, Int. J. Math. 12 (2001), 289–338.
    • (2001) Int. J. Math , vol.12 , pp. 289-338
    • Kustermans, J.1
  • 9
    • 0037278968 scopus 로고    scopus 로고
    • Locally compact quantum groups in the von Neumann algebraic setting
    • J. Kustermans and S. Vaes, Locally compact quantum groups in the von Neumann algebraic setting, Math. Scand. 92 (2003), 68–92.
    • (2003) Math. Scand , vol.92 , pp. 68-92
    • Kustermans, J.1    Vaes, S.2
  • 10
    • 51249179470 scopus 로고
    • More examples of bicrossproduct and double cross product Hopf algebras
    • S. Majid, More examples of bicrossproduct and double cross product Hopf algebras, Isr. J. Math. 72 (1990), 133–148.
    • (1990) Isr. J. Math , vol.72 , pp. 133-148
    • Majid, S.1
  • 11
    • 0001353987 scopus 로고
    • A von Neumann algebraic framework for the duality of the quantum groups
    • T. Masuda and Y. Nakagami, A von Neumann algebraic framework for the duality of the quantum groups, Publ. RIMS (Kyoto) 30 (1994), 799–850.
    • (1994) Publ. RIMS (Kyoto) , vol.30 , pp. 799-850
    • Masuda, T.1    Nakagami, Y.2
  • 12
    • 0346340810 scopus 로고    scopus 로고
    • A C∗-algebraic framework for quantum groups
    • T. Masuda, Y. Nakagami and S. L. Woronowicz, A C∗-algebraic framework for quantum groups, Int. J. Math. 14 (2003), 903–1001.
    • (2003) Int. J. Math , vol.14 , pp. 903-1001
    • Masuda, T.1    Nakagami, Y.2    Woronowicz, S.L.3
  • 13
    • 0035836131 scopus 로고    scopus 로고
    • The unitary implementation of a locally compact quantum group action
    • S. Vaes, The unitary implementation of a locally compact quantum group action, J. Funct. Analysis 180 (2001), 426–480.
    • (2001) J. Funct. Analysis , vol.180 , pp. 426-480
    • Vaes, S.1
  • 14
    • 0001180606 scopus 로고    scopus 로고
    • A Radon-Nikodym theorem for von Neumann algebras
    • S. Vaes, A Radon-Nikodym theorem for von Neumann algebras, J. Operat. Theory 46 (2001), 477–489.
    • (2001) J. Operat. Theory , vol.46 , pp. 477-489
    • Vaes, S.1
  • 15
    • 85012538234 scopus 로고    scopus 로고
    • Strictly outer actions of locally compact groups and quantum groups
    • in press
    • S. Vaes, Strictly outer actions of locally compact groups and quantum groups, J. Reine. Angew. Math., in press.
    • J. Reine. Angew. Math
    • Vaes, S.1
  • 16
    • 0037692003 scopus 로고    scopus 로고
    • Extensions of locally compact quantum groups and the bicrossed product construction
    • S. Vaes and L. Vainerman, Extensions of locally compact quantum groups and the bicrossed product construction, Adv. Math. 175 (2003), 1–101.
    • (2003) Adv. Math , vol.175 , pp. 1-101
    • Vaes, S.1    Vainerman, L.2
  • 17
    • 65349138177 scopus 로고    scopus 로고
    • The Heisenberg commutation relations, commuting squares and the Haar measure on locally compact quantum groups
    • Romania), 2–7 July 2001 (ed. J.-M. Combes, J. Cuntz, G. A. Elliott, G. Nenciu, H. Siedentop and S. Stratila Theta Foundation, Bucharest
    • S. Vaes and A. Van Daele, The Heisenberg commutation relations, commuting squares and the Haar measure on locally compact quantum groups, in Operator Algebras and Mathematical Physics: Conf. Proc., Constanta (Romania), 2–7 July 2001 (ed. J.-M. Combes, J. Cuntz, G. A. Elliott, G. Nenciu, H. Siedentop and S. Stratila), pp. 379–400 (Theta Foundation, Bucharest, 2003).
    • (2003) Operator Algebras and Mathematical Physics: Conf. Proc., Constanta , pp. 379-400
    • Vaes, S.1    Van Daele, A.2
  • 18
    • 0000671888 scopus 로고    scopus 로고
    • An algebraic framework for group duality
    • A. Van Daele, An algebraic framework for group duality, Adv. Math. 140 (1998), 323–366.
    • (1998) Adv. Math , vol.140 , pp. 323-366
    • Van Daele, A.1
  • 19
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups
    • S. L. Woronowicz, Compact matrix pseudogroups, Commun. Math. Phys. 111 (1987), 613–665.
    • (1987) Commun. Math. Phys , vol.111 , pp. 613-665
    • Woronowicz, S.L.1
  • 20
    • 0030305518 scopus 로고    scopus 로고
    • From multiplicative unitaries to quantum groups
    • S. L. Woronowicz, From multiplicative unitaries to quantum groups, Int. J. Math. 7 (1996), 127–149.
    • (1996) Int. J. Math , vol.7 , pp. 127-149
    • Woronowicz, S.L.1
  • 22
    • 0034287943 scopus 로고    scopus 로고
    • Double group construction of quantum groups in the von Neumann algebra framework
    • T. Yamanouchi, Double group construction of quantum groups in the von Neumann algebra framework, J. Math. Soc. Jpn 52 (2000), 807–834.
    • (2000) J. Math. Soc. Jpn , vol.52 , pp. 807-834
    • Yamanouchi, T.1
  • 23
    • 0344065552 scopus 로고    scopus 로고
    • Takesaki duality for weights on locally compact quantum group covariant systems
    • T. Yamanouchi, Takesaki duality for weights on locally compact quantum group covariant systems, J. Operat. Theory 50 (2003), 53–66.
    • (2003) J. Operat. Theory , vol.50 , pp. 53-66
    • Yamanouchi, T.1
  • 24
    • 0037778658 scopus 로고    scopus 로고
    • Canonical extension of actions of locally compact quantum groups
    • T. Yamanouchi, Canonical extension of actions of locally compact quantum groups, J. Funct. Analysis 201 (2003), 522–560.
    • (2003) J. Funct. Analysis , vol.201 , pp. 522-560
    • Yamanouchi, T.1


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