Pairing and Quantum Double of Multiplier Hopf Algebras

Details Pairing and Quantum Double of Multiplier Hopf Algebras Pairing and Quantum Double of Multiplier Hopf Algebras

1996-09-16

arxiv.org/abs/q-alg/9609013v1

Mathematics

Functional Analysis

AMS-TeX, 21 pages

Scientific paper

We define and investigate pairings of multiplier Hopf algebras. It is shown that two dually paired regular multiplier Hopf ($*$-)algebras $A$ and $B$ yield a quantum double multiplier Hopf ($*$-)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.

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