2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125672We compute the l^2-Betti numbers of the complement of a finite collection of affine hyperplanes in complex space. At most one of the l^2-Betti numbers is non-zero.v2: Correction to proof of main theoremAlgebraic TopologyGroup TheoryGeometric Topology52B30; 32S22, 52C35, 57N65, 58J22The l^2-cohomology of hyperplane complementstext