Cyclic homology of the Taft algebras and of their Auslander algebras
Abstract
In this paper, we compute the cyclic homology of the Taft algebras and of their Auslander algebras. Given a Hopf algebra , the Grothendieck groups of projective -modules and of all -modules are endowed with a ring structure, which in the case of the Taft algebras is commutative (C2, G). We also describe the first Chern character for these algebras.
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