%0 Journal Article %T Cyclic homology of the Taft algebras and of their Auslander algebras %A Rachel Taillefer %J Mathematics %D 2000 %I arXiv %X In this paper, we compute the cyclic homology of the Taft algebras and of their Auslander algebras. Given a Hopf algebra $\Lambda,$ the Grothendieck groups of projective $\Lambda -$modules and of all $\Lambda -$modules are endowed with a ring structure, which in the case of the Taft algebras is commutative (\cite{C2}, \cite{G}). We also describe the first Chern character for these algebras. %U http://arxiv.org/abs/math/0009214v1