Para-Hopf algebroids and their cyclic cohomology
Abstract
We introduce the concept of {\it para-Hopf algebroid} and define their cyclic cohomology in the spirit of Connes-Moscovici cyclic cohomology for Hopf algebras. Para-Hopf algebroids are closely related to, but different from, Hopf algebroids. Their definition is motivated by attempting to define a cyclic cohomology theory for Hopf algebroids in general. We show that many of Hopf algebraic structures, including the Connes-Moscovici algebra , are para-Hopf algebroids.
Keywords
Cite
@article{arxiv.math/0105105,
title = {Para-Hopf algebroids and their cyclic cohomology},
author = {M. Khalkhali and B. Rangipour},
journal= {arXiv preprint arXiv:math/0105105},
year = {2007}
}
Comments
Final version to appear in Letters in Mathematical Physics. The name of the article has been changed. Our new class of bialgebroids are now called ``para-Hopf algebroids''. One new example of bialgebroids, due to Connes and Moscovici, are shown to satisfy our axioms of para-Hopf algebroids