2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79002We study the $C^*$-algebras related to Mishchenko's version of asymptotic homomorphisms. In particular we show that their different versions are weakly homotopy equivalent but not isomorphic to each other. We give also the continuous version for these algebras.9 pages, LaTeX 2.09Operator Algebrastext