Classification of homomorphisms from $C

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229442A class of C*-algebras is described for which the homomorphism from $C_0(0,1]$ to the algebra may be classified by means of the Cuntz semigroup functor. Examples are given of algebras--simple and non-simple--for which this classification fails. It is shown that a suitable suspension of the Cuntz semigroup functor deals successfully with some of these counterexamples.Operator Algebras46L08; 46L35Classification of homomorphisms from $C_0(0,1]$ to a C*-algebratext