2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122775We prove the algebraic eigenvalue conjecture of J. Dodziuk, P. Linnell, V. Mathai, T. Schick and S. Yates for sofic groups. Moreover, we give restrictions on the spectral measure of elements in the integral group ring. Finally, we define integer operators and prove a quantization of the operator norm below 2.15 pages, no figuresFunctional AnalysisGroup Theory16S34; 46L10; 46L50text