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Volumn 201, Issue 2, 2003, Pages 522-560

Canonical extension of actions of locally compact quantum groups

Author keywords

Actions; Canonical extension; Locally compact quantum groups; Von Neumann algebras

Indexed keywords


EID: 0037778658     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1236(02)00153-2     Document Type: Article
Times cited : (7)

References (27)
  • 1
    • 0001523198 scopus 로고
    • On the spatial theory of von Neumann algebras
    • A. Connes, On the spatial theory of von Neumann algebras, J. Funct. Anal. 35 (1980) 153-164.
    • (1980) J. Funct. Anal. , vol.35 , pp. 153-164
    • Connes, A.1
  • 2
    • 84972556832 scopus 로고
    • The flow of weights of factors of type III
    • A. Connes, M. Takesaki, The flow of weights of factors of type III, Tohoku Math. J. 29 (1977) 473-575.
    • (1977) Tohoku Math. J. , vol.29 , pp. 473-575
    • Connes, A.1    Takesaki, M.2
  • 3
    • 85008311172 scopus 로고
    • Produit croisé d'une algébre de von Neumann par une algèbre de Kac, II
    • Publ. RIMS, Kyoto Univ
    • M. Enock, J.-M. Schwartz, Produit croisé d'une algébre de von Neumann par une algèbre de Kac, II, Publ. RIMS, Kyoto Univ. 16 (1980) 189-232.
    • (1980) , vol.16 , pp. 189-232
    • Enock, M.1    Schwartz, J.-M.2
  • 4
    • 0003800578 scopus 로고
    • Kac Algebras and Duality of Locally Compact Groups
    • Springer, Berlin
    • M. Enock, J.-M. Schwartz, Kac Algebras and Duality of Locally Compact Groups, Springer, Berlin, 1992.
    • (1992)
    • Enock, M.1    Schwartz, J.-M.2
  • 5
    • 0009925407 scopus 로고
    • On the intrinsic group of a Kac algebra
    • De Cannière, On the intrinsic group of a Kac algebra, Proc. London Math. Soc. 39 (1979) 1-20.
    • (1979) Proc. London Math. Soc. , vol.39 , pp. 1-20
    • De Cannière, A.1
  • 6
    • 0003369977 scopus 로고
    • A Density Theorem for Left Hilbert Algebras
    • Springer, Berlin
    • U. Haagerup, A Density Theorem for Left Hilbert Algebras, Lecture Notes in Mathematics, Vol. 725, Springer, Berlin, 1979, pp. 170-179.
    • (1979) Lecture Notes in Mathematics , vol.725 , pp. 170-179
    • Haagerup, U.1
  • 7
    • 0002274813 scopus 로고
    • Operator valued weights in von Neumann algebras, I
    • U. Haagerup, Operator valued weights in von Neumann algebras, I, J. Funct. Anal. 32 (1979) 175-206.
    • (1979) J. Funct. Anal. , vol.32 , pp. 175-206
    • Haagerup, U.1
  • 8
    • 0002274821 scopus 로고
    • Operator valued weights in von Neumann algebras, II
    • U. Haagerup, Operator valued weights in von Neumann algebras, II, J. Funct. Anal. 33 (1979) 339-361.
    • (1979) J. Funct. Anal. , vol.33 , pp. 339-361
    • Haagerup, U.1
  • 9
    • 0001558092 scopus 로고
    • p d'une algèbre de von Neumann définies par la derivée spatiale
    • p d'une algèbre de von Neumann définies par la derivée spatiale, J. Funct. Anal. 40 (1981) 151-169.
    • (1981) J. Funct. Anal. , vol.40 , pp. 151-169
    • Hilsum, M.1
  • 10
    • 0000639992 scopus 로고
    • Equivalence of normal states on von Neumann algebras and the flow of weights
    • U. Haagerup, E. Størmer, Equivalence of normal states on von Neumann algebras and the flow of weights, Adv. in Math. 83 (1990) 180-262.
    • (1990) Adv. in Math. , vol.83 , pp. 180-262
    • Haagerup, U.1    Størmer, E.2
  • 11
    • 85031132776 scopus 로고    scopus 로고
    • Canonical extension of endomorphisms of type III factors
    • preprint
    • M. Izumi, Canonical extension of endomorphisms of type III factors, preprint.
    • Izumi, M.1
  • 12
    • 0003140516 scopus 로고    scopus 로고
    • A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
    • M. Izumi, R. Longo, S. Popa, A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras, J. Funct. Anal. 155 (1998) 25-63.
    • (1998) J. Funct. Anal. , vol.155 , pp. 25-63
    • Izumi, M.1    Longo, R.2    Popa, S.3
  • 13
    • 0000235577 scopus 로고
    • Extension of Jones' theory on index to arbitrary factors
    • H. Kosaki, Extension of Jones' theory on index to arbitrary factors, J. Funct. Anal. 66 (1986) 123-140.
    • (1986) J. Funct. Anal. , vol.66 , pp. 123-140
    • Kosaki, H.1
  • 15
    • 85031135247 scopus 로고    scopus 로고
    • Locally compact quantum groups in the von Neumann algebra setting
    • to appear
    • J. Kustermans, S. Vaes, Locally compact quantum groups in the von Neumann algebra setting, Math. Scand., to appear.
    • Math. Scand.
    • Kustermans, J.1    Vaes, S.2
  • 16
    • 0002206067 scopus 로고    scopus 로고
    • Sur le type du produit croisé d'une algèbre de von Neumann par un groupe localement compact
    • J.-L. Sauvageot, Sur le type du produit croisé d'une algèbre de von Neumann par un groupe localement compact, Bull. Soc. Math. France 105 (1997) 349-368.
    • (1997) Bull. Soc. Math. France , vol.105 , pp. 349-368
    • Sauvageot, J.-L.1
  • 17
    • 0001433017 scopus 로고
    • Flows of weights of crossed products of type III factors by discrete groups
    • Y. Sekine, Flows of weights of crossed products of type III factors by discrete groups, Publ. Res. Inst. Math. Sci. 26 (1990) 655-666.
    • (1990) Publ. Res. Inst. Math. Sci. , vol.26 , pp. 655-666
    • Sekine, Y.1
  • 19
    • 33646924067 scopus 로고
    • Conditional expectations in von Neumann algebras
    • M. Takesaki, Conditional expectations in von Neumann algebras, J. Funct. Anal. 9 (1972) 306-321.
    • (1972) J. Funct. Anal. , vol.9 , pp. 306-321
    • Takesaki, M.1
  • 20
    • 0000389660 scopus 로고
    • Duality for crossed products and the structure of von Neumann algebras of type III
    • M. Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III, Acta Math. 131 (1973) 249-310.
    • (1973) Acta Math. , vol.131 , pp. 249-310
    • Takesaki, M.1
  • 21
    • 0001180606 scopus 로고    scopus 로고
    • A Radon-Nikodym theorem for von Neumann algebras
    • S. Vaes, A Radon-Nikodym theorem for von Neumann algebras, J. Operator Theory 46 (2001) 477-489.
    • (2001) J. Operator Theory , vol.46 , pp. 477-489
    • Vaes, S.1
  • 22
    • 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. Anal. 180 (2001) 426-480.
    • (2001) J. Funct. Anal. , vol.180 , pp. 426-480
    • Vaes, S.1
  • 23
    • 0004344869 scopus 로고    scopus 로고
    • Extensions of locally compact quantum groups and the bicrossed product construction
    • preprint
    • S. Vaes, L. Vainerman, Extensions of locally compact quantum groups and the bicrossed product construction, preprint.
    • Vaes, S.1    Vainerman, L.2
  • 25
    • 0010861213 scopus 로고    scopus 로고
    • The Connes spectrum for actions of compact Kac algebras and factoriality of their crossed products
    • T. Yamanouchi, The Connes spectrum for actions of compact Kac algebras and factoriality of their crossed products, Hokkaido Math. J. 28 (1999) 409-434.
    • (1999) Hokkaido Math. J. , vol.28 , pp. 409-434
    • Yamanouchi, T.1
  • 26
    • 0038388051 scopus 로고    scopus 로고
    • Uniqueness of Haar measures for a quasi Woronowicz algebra
    • T, Yamanouchi, Uniqueness of Haar measures for a quasi Woronowicz algebra, Hokkaido Math. J. 30 (2001) 105-112.
    • (2001) Hokkaido Math. J. , vol.30 , pp. 105-112
    • Yamanouchi, T.1
  • 27
    • 85031137535 scopus 로고    scopus 로고
    • Takesaki duality for weights on locally compact quantum group covariant systems
    • to appear
    • T. Yamanouchi, Takesaki duality for weights on locally compact quantum group covariant systems, J. Operator Theory, to appear.
    • J. Operator Theory
    • Yamanouchi, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.