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 El-term of this spectral sequence, that is the Hochschild homology, is calculated by Skoldberg. In this paper, by means of chain maps between the projective resolution constructed by Skoldberg and one by Cibils, we calculate the E-2-term, and we have the dimension formula of the cyclic homology. (c) 2014 Elsevier Inc. All rights reserved.