A note on cohomology for multiplier Hopf algebras
arXiv:1908.01033
summary
The paper investigates constructing a cosimplicial complex for multiplier Hopf algebras and extending the cyclicity operator to define Hopf‑cyclic cohomology, introducing modular pairs in involution and applying the theory to algebras of functions on discrete groups.
Abstract
In this note we discuss the possibility of constructing the cosimplicial complex for the multiplier Hopf algebras and extending the cyclicity operator to obtain the Hopf-cyclic cohomology for them. We show that the definition of modular pairs in involution for multiplier Hopf algebras and provide the definition of Hopf-cyclic cohomology for algebras of functions over discrete groups.
Topics & keywords
#multiplier hopf algebras#hopf-cyclic cohomology#cosimplicial complex#modular pairs in involution#discrete group algebrasmultiplier Hopf algebracosimplicial complexcyclicity operatormodular pair in involutionHopf-cyclic cohomologyfunction algebra over discrete group