Pairing and Quantum Double of Multiplier Hopf Algebras

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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.
AMS-TeX, 21 pages

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Quantum Algebra, Functional Analysis, 16W30, 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/153601

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/q-alg/9609013
 http://arxiv.org/abs/q-alg/9609013

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arXiv