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This paper has two parts. In the first part we construct arithmetic models ofBost-Connes systems for arbitrary number fields, which has been an open problemsince the seminal work of Bost and Connes [3]. In particular our constructionshows how the class field theory of an arbitrary number field can be realizedthrough the dynamics of a certain operator algebra. This is achieved by workingin the framework of Endomotives, introduced by Connes, Marcolli and Consani[5], and using a classification result of Borger and de Smit [1] for certain{\Lambda}-rings in terms of the Deligne-Ribet monoid. Moreover the uniquenessof the arithmetic model is shown by Sergey Neshveyev in an appendix. In thesecond part of the paper we introduce a base-change functor for a class ofalgebraic endomotives and construct in this way an algebraic refinement of afunctor from the category of number fields to the category of Bost-Connessystems, constructed recently by Laca, Neshveyev and Trifkovic [13].

On arithmetic models and functoriality of Bost-Connes systems. With an appendix by Sergey Neshveyev