2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95414In many aspects the most complicated noncommutative spaces correspond to foliated manifolds with nonvanishing Godbillon-Vey class. We argue that gauge invariance probably prevents a foliated manifold from creating resilient leaves and thus resulting in having nonvanishing GV-class. So these spaces which are of the highest noncommutativity are not likely to appear in gauge theories.16 pages, tex, version accepted for publicationHigh Energy Physics - Theorytext