A note on cohomology for multiplier Hopf algebras
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algebrascohomologyhopfmultiplierdefinitionhopf-cyclicnotecomplex
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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.
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