The cyclic theory of Hopf algebroids

Authors	N. Kowalzig H. Posthuma
Publication date	2011
Journal	Journal of Noncommutative Geometry
Volume | Issue number	5 | 3
Pages (from-to)	423-476
Organisations	Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract	We give a systematic description of the cyclic cohomology theory of Hopf alge\-broids in terms of its associated category of modules. Then we introduce a dual cyclic homology theory by applying cyclic duality to the underlying cocyclic object. We derive general structure theorems for these theories in the special cases of commutative and cocommutative Hopf algebroids. Finally, we compute the cyclic theory in examples associated to Lie-Rinehart algebras and étale groupoids.
Document type	Article
Language	English
Published at	https://doi.org/10.4171/JNCG/82
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