Pairing and Quantum Double of Multiplier Hopf Algebras

Abstract

We define and investigate pairings of multiplier Hopf algebras. It is shown that two dually paired regular multiplier Hopf ($\ast$-)algebras $A$ and $B$ yield a quantum double multiplier Hopf ($\ast$-)algebra which is again regular. Integrals on $A$ and $B$ induce an integral on the quantum double. The results generalize pairing and quantum double construction from ordinary Hopf algebras to multiplier Hopf algebras.

arXiv commentAMS-TeX, 21 pages

Cited by in corpus (1)

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