|
Keywords
|
Multiplier Hopf algebra, Cyclic homology, Cyclic module,
Para-cyclic module, H-co-module, H-module.
|
|
Abstract
|
In this paper, we will study the theory of cyclic homology 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 para-cyclic
module to a triple (R;H;X) and then prove the existence of a cyclic
structure associated to this triple.
|