2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79428We compute explicitly the primitive ideal space of the Bost-Connes Hecke C*-algebra by embedding it as a full corner in a transformation group C*-algebra and applying a general theorem of Williams. This requires the computation of the quasi-orbit space for the action of the multiplicative positive rationals on the space of finite adeles. We then carry out a similar computation for the action of the nonzero rationals on the space of full adeles.15 pagesOperator Algebras46L55The ideal structure of the Hecke C*-algebra of Bost and Connestext