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Abstract: We give a systematic description of the cyclic cohomology theory of Hopfalgebroids in terms of its associated category of modules. Then we introduce adual cyclic homology theory by applying cyclic duality to the underlyingcocyclic object. We derive general structure theorems for these theories in thespecial cases of commutative and cocommutative Hopf algebroids. Finally, wecompute the cyclic theory in examples associated to Lie-Rinehart algebras and\-etale groupoids.



Author: Niels Kowalzig, Hessel Posthuma

Source: https://arxiv.org/







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