2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161720Let $X$ be a finite aspherical CW-complex whose fundamental group $π_1(X)$ possesses a subnormal series $π_1(X) \rhd G_m \rhd ... \rhd G_0$ with a non-trivial elementary amenable group $G_0$. We investigate the $L^2$-invariants of the universal covering of such a CW-complex $X$. We show that the Novikov-Shubin invariants $α_n({\tilde X})$ are positive. We further prove that the $L^2$-torsion $ρ^{(2)}({\tilde X})$ vanishes if $π_1(X)$ has semi-integral determinant.11 pagesGeometric Topology57Q10; 55N99text