Cyclic homology of the Taft algebras and of their Auslander algebras

Rachel Taillefer

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arXiv · math/0009214

Cyclic homology of the Taft algebras and of their Auslander algebras

Rachel Taillefer

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Abstract

In 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.

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BibTeX RIS

Rachel Taillefer. 2000-09-25. Cyclic homology of the Taft algebras and of their Auslander algebras. https://arxiv.org/abs/math/0009214

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