The Drinfeld double for C*-algebraic quantum groups

Abstract

In this article, we establish the duality between the generalised Drinfeld double and generalised quantum codouble within the framework of modular or manageable (not necessarily regular) multiplicative unitaries, and discuss several properties.

Accepted by The Journal of Operator Theory. The author would like to thank Karen Strung and anonymous referee for an exceptionally careful reading of the article and valuable comments that led to substantial improvements of its content compared to the previous version

References in corpus (3)

• The Haagerup property for locally compact quantum groups
• Quantum group-twisted tensor products of C*-algebras II
• Twisting of the Quantum double and the Weyl algebra

Cited by in corpus (6)

• Quantum group-twisted tensor products of C*-algebras II
• Semidirect products of C*-quantum groups: multiplicative unitaries approach
• Quantum symmetries of the twisted tensor products of C*-algebras
• Landstad-Vaes theory for locally compact quantum groups
• The maximal quantum group-twisted tensor product of C*-algebras
• Braided quantum groups and their bosonizations in the $C^{\ast }$-algebraic framework