The maximal quantum group-twisted tensor product of C*-algebras

  • Sutanu Roy

    National Institute of Science Education and Research (NISER), Jatni, India
  • Thomas Timmermann

    Universität Münster, Germany
The maximal quantum group-twisted tensor product of C*-algebras cover
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Abstract

We construct a maximal counterpart to the minimal quantum group-twisted tensor product of C*-algebras studied by Meyer, Roy and Woronowicz [16, 17], which is universal with respect to representations satisfying certain braided commutation relations. Much like the minimal one, this product yields a monoidal structure on the coactions of a quasi-triangular C*-quantum group, the horizontal composition in a bicategory of Yetter–Drinfeld C*-algebras, and coincides with a Rieffel deformation of the non-twisted tensor product in the case of group coactions.

Cite this article

Sutanu Roy, Thomas Timmermann, The maximal quantum group-twisted tensor product of C*-algebras. J. Noncommut. Geom. 12 (2018), no. 1, pp. 279–330

DOI 10.4171/JNCG/277