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

Abstract

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

Minor corrections of misprints and improvements

References in corpus (2)

• Quantum group-twisted tensor products of C*-algebras II
• The Drinfeld double for C*-algebraic quantum groups

Cited by in corpus (1)

• Quantum symmetries of the twisted tensor products of C*-algebras