Cyclic homology of the Taft algebras and of their Auslander algebras

Details Cyclic homology of the Taft algebras and of their Auslander algebras Cyclic homology of the Taft algebras and of their Auslander algebras

2000-09-25

arxiv.org/abs/math/0009214v1

Mathematics

Quantum Algebra

11 pages, 3 figures

Scientific paper

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.

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