Para-Hopf algebroids and their cyclic cohomology

Details Para-Hopf algebroids and their cyclic cohomology Para-Hopf algebroids and their cyclic cohomology

2001-05-11

arxiv.org/abs/math/0105105v7

Mathematics

K-Theory and Homology

Final version to appear in Letters in Mathematical Physics. The name of the article has been changed. Our new class of bialgeb

Scientific paper

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 $\mathcal{H}_{FM}$, are para-Hopf algebroids.

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