2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59991In this paper, we compute the cyclic homology of the Taft algebras and of their Auslander algebras. Given a Hopf algebra $Λ,$ the Grothendieck groups of projective $Λ-$modules and of all $Λ-$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.11 pages, 3 figuresQuantum Algebra16E20, 16E40, 16G70, 16W30, 19A99, 19D55, 57T05text