Cyclic homology of quadratic monomial algebras

Abstract

In this note, the cyclic homology of quiver algebras with quadratic monomial relations over a field are computed. This is done by using a mixed complex due to Cibils. An associated spectral sequence is considered, which converges to the cyclic homology. The E 1-term of this is calculated with the aid of the author's earlier work on the Hochschild homology of these algebras. The E 2-term is then calculated, and since all higher differentials in the spectral sequence vanishes, the homology spaces can be determined from it.