2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76919We present an approach to cyclic homology of A_{\infty} algebras. Our main technical tool is the concept of X-complex due to Cuntz and Quillen. This, in particular, enables us to compute the periodic cyclic homology of an A_{\infty} algebra in terms of the periodic cyclic homology of its homology.16 pagesQuantum AlgebraK-Theory and Homology19K56text