2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171250We study the K-homology of the rotation algebras $A_θ$ using the six term cyclic sequence for the K-homology of a crossed product by ${\bf Z}$. In the case where $θ$ is irrational we use Pimsner and Voiculescu's work on AF-embeddings of the $A_θ$ to search for the missing generator of the even K-homology.16 pages, AMS Latex, uses package diagramsOperator AlgebrasK-Theory and Homology58B34, 19K33, 46Ltext