Pairing and quantum double of multiplier Hopf algebras (Q5944687)

Pairings of regular multiplier Hopf (*-)algebras are defined and investigated. Such a pairing arises naturally from any multiplier Hopf algebra with integral and its dual. To any pairing of regular multiplier Hopf (*-)algebras \(A\) and \(B\) is associated a quantum double, which is also a regular multiplier Hopf (*-)algebra. If \(A\) and \(B\) have integrals, then so does the quantum double. This construction produces new examples of multiplier Hopf (*-)algebras.