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Journal of Noncommutative Geometry

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Volume 12, Issue 1, 2018, pp. 279–330
DOI: 10.4171/JNCG/277

Published online: 2018-03-23

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

Sutanu Roy[1] and Thomas Timmermann[2]

(1) National Institute of Science Education and Research (NISER), Jatni, India
(2) Universität Münster, Germany

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.

Keywords: C*-algebra, tensor product, crossed product, quantum group

Roy Sutanu, Timmermann Thomas: The maximal quantum group-twisted tensor product of C*-algebras. J. Noncommut. Geom. 12 (2018), 279-330. doi: 10.4171/JNCG/277