2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111681It is shown that Connes' character formula for unbounded, theta-summable Fredholm modules represents the abstract Chern-character in K-homology. As an application, the character of a particular Fredholm module over the reduced group C*-algebra of a discrete group is calculated, which leads to a partial solution of a problem posed by A.Connes.51 pagesK-Theory and HomologyOperator Algebras19D55Characters of Fredholm modules and a problem of Connestext