Bost-Connes systems and F1-structures in Grothendieck rings, spectra, and Nori motives

Joshua F. Lieber, Yuri I. Manin, Matilde Marcolli

We construct geometric lifts of the Bost-Connes algebra to Grothendieck rings and to the associated assembler categories and spectra, as well as to certain categories of Nori motiv…