Homomorphisms of quantum groups

Abstract

We introduce some equivalent notions of homomorphisms between quantum groups that behave well with respect to duality of quantum groups. Our equivalent definitions are based on bicharacters, coactions, and universal quantum groups, respectively.

Significant changes compared to first version, including new results

Cited by in corpus (21)

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• Semidirect products of C*-quantum groups: multiplicative unitaries approach
• Induction for locally compact quantum groups revisited
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• Quantum $E(2)$ groups for complex deformation parameters
• Braided multiplicative unitaries as regular objects
• The approximation property for locally compact quantum groups
• Braided quantum groups and their bosonizations in the $C^{\ast }$-algebraic framework
• Hecke algebras and the Schlichting completion for discrete quantum groups
• Quantum Eberlein compactifications and invariant means
• Monoidal category of C*-algebras
• Bornological quantum groups as locally compact quantum groups
• Fundamental isomorphism theorems for quantum groups