The dimension formula of the cyclic homology of truncated quiver algebras over a field of positive characteristic

We give the dimension formula of the cyclic homology of truncated quiver algebras over a field of positive characteristic. This is done by using a mixed complex due to Cibils. We consider a spectral sequence associated with the Cibils' mixed complex, which converges to the cyclic homology. The E1E1-term of this spectral sequence, that is the Hochschild homology, is calculated by Sköldberg. In this paper, by means of chain maps between the projective resolution constructed by Sköldberg and one by Cibils, we calculate the E2E2-term, and we have the dimension formula of the cyclic homology.