2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110051Smooth K-functors are introduced and the smooth K-theory of locally convex algebras is developed. It is proved that the algebraic and smooth K-functors are isomorphic on the category of quasi stable real (or complex) Frechet algebras.31 pagesK-Theory and HomologySmooth K-theory of locally convex algebrastext