2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163077We give a complete classification (up to smooth homotopy) of finitely summable Fredholm representations (Fredholm modules) over higher rank groups and lattices. Our results are a direct consequence of work of Bader, Furman, Gelander and Monod on generalisations of Kazhdan's property T for locally compact groups.16 pagesOperator AlgebrasK-Theory and Homology19K35, 22E40, 22E41Finitely summable Fredholm modules over higher rank groups and latticestext