The cyclic theory of Hopf algebroids
K-Theory and Homology
2010-06-01 v2 Quantum Algebra
Abstract
We give a systematic description of the cyclic cohomology theory of Hopf algebroids 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 \'etale groupoids.
Keywords
Cite
@article{arxiv.0904.4736,
title = {The cyclic theory of Hopf algebroids},
author = {Niels Kowalzig and Hessel Posthuma},
journal= {arXiv preprint arXiv:0904.4736},
year = {2010}
}
Comments
44 pages; to appear in Journal of Noncommutative Geometry