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A remark on quantum group actions and nuclearity

2002
9 pages
Published in:
  • Rev.Math.Phys. 14 (2002) 787-796
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Abstract: (WSP)
Let H be a compact quantum group with faithful Haar measure and bounded counit. If α is an action of H on a C*- algebra A, we show that A is nuclear if and only if the fixed-point subalgebra Aα is nuclear. As a consequence H is a nuclear C*-algebra.
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  • 12 pages, LateX 2e
  • [1]
    Unitaires multiplicatifs et dualité pour les produits croisés des C∗ -algèbres, Ann. Scient. Ec. Norm, Sup. 4e série 26 , 425-488
    • P.S. Baaj
      ,
    • G. Skandalis
  • [2]

    Recent Advances in Operator Algebras

    • F.P. Boca
  • [3]
    Nuclear C∗ -algebras and injectivity
    • M.D. Choi
      ,
    • E. Effros
    • [3]
      the general case
        • Indiana Univ.Math.J. 26 (1977) 443-446
    • [4]
      Classification of injective factors
      • A. Connes
        • Annals Math. 104 (1976) 73-115
    • [5]

      Algèbres d’Opérateurs et leurs Applications en Physique Mathématique

      • A. Connes
    • [6]
      Duals of compact Lie groups realized in the Cuntz algebras and their actions on C∗ -algebras
      • S. Doplicher
        ,
      • J.E. Roberts
        • J.Funct.Anal. 74 (1987) 96-120
    • [7]
      Tensor product of operator algebras
      • E. Effros
        ,
      • C. Lance
        • Adv.Math. 25 (1977) 1-34
    • [8]
      Compact ergodic groups of automorphisms
      • R. Høegh-Krohn
        ,
      • M.B. Landstad
        ,
      • E. Størmer
        • Annals Math. 114 (1981) 75-86
    • [9]
      The operator algebra approach to quantum groups
      • J. Kustermans
        ,
      • S. Vaes
        • Proc.Nat.Acad.Sci. 97 (2000) 547-552
    • [10]
      algebra framework for the duality of the quantum groups
      • T. Masuda
        ,
      • Y. Nakagami
        ,
      • A. von Neumann
        • Publ.Res.Inst.Math.Sci.Kyoto 30 (1994) 799-850
    • [11]
      Voiculescu, D. V., Zsido, L On crossed products I, Revue Roum. Math. Pures et Appl. 21 , 1411-1449
      • S. StrVatilVa
    • [12]
      The Haar measure on a compact quantum pseudogroup
      • A. Van Daele
        • Proc.Am.Math.Soc. 123 (1995) 3125-3128
    • [13]
      Universal quantum groups 255-264
      • A. Van Daele
        ,
      • S. Wang
        • Int.J.Math. 7 (1996) 2
    • [14]
      Ergodic actions of universal quantum groups on operator algebras
      • S. Wang
        • Commun.Math.Phys. 203 (1999) 481-498
    • [15]

    • [16]

      Symétries Quantiques

      • S. Woronowicz