On the cyclic homology of multiplier Hopf algebras

In this paper, we will study the theory of cyclic ho-mology for regular multiplier Hopf algebras. We associate a cyclic module to a triple (R;H;X) consisting of a regular multiplier Hopf algebra H, a left H-comodule algebra R, and a unital left H-module X which is also a unital algebra. First, we construct a paracyclic module to a triple (R;H;X) and then prove the existence of a cyclic structure associated to this triple.

Keywords:

Multiplier Hopf algebra , Cyclic homology , Cyclic module , Paracyclic module , H