Quantum group-twisted tensor products of C*-algebras II

Abstract

For a quasitriangular C*-quantum group, we enrich the twisted tensor product constructed in the first part of this series to a monoidal structure on the category of its continuous coactions on C*-algebras. We define braided C*-quantum groups, where the comultiplication takes values in a twisted tensor product. We show that compact braided C*-quantum groups yield compact quantum groups by a semidirect product construction.

26 pages

References in corpus (3)

• Double crossed products of locally compact quantum groups
• Quantum group-twisted tensor products of C*-algebras
• The Drinfeld double for C*-algebraic quantum groups

Cited by in corpus (10)

• The Drinfeld double for C*-algebraic quantum groups
• Semidirect products of C*-quantum groups: multiplicative unitaries approach
• Braided free orthogonal quantum groups
• Quantum $E(2)$ groups for complex deformation parameters
• Braided quantum symmetries of graph ${\mathrm{C}}^{\ast }$-algebras
• Anyonic quantum symmetries of finite spaces
• The maximal quantum group-twisted tensor product of C*-algebras
• Braided multiplicative unitaries as regular objects
• Braided quantum groups and their bosonizations in the $C^{\ast }$-algebraic framework
• On some algebraic and geometric aspects of the quantum unitary group