The build-up of a galaxy can be thought as resulting from the competition between the "positive" process of gas accretion onto halos and "negative" ones like gas heating end expulsion caused by stellar and AGN feedback. As these processes both determine and are regulated by the growth rate of stars, BHs and DM halos, the existence of a relation between the properties of these three components must be expected at all redshift.
In this study, we test this scenario in the local Universe by using a sample of 55 nearby galaxies with robust measurements for their BH, stellar and halo masses. We found that these galaxies build a well-defined sequence in this 3D "mass" space, with an hint of a break at halo (BH) masses of ~1e12 (5e7) solar masses. The observed trends can be reproduced by a simple equilibrium model in the ΛCDM framework where galaxies smoothly accrete dark and baryonic matter at a cosmological rate, having their stellar and black hole build-up regulated both by the cooling of the available gas reservoir and by the negative feedback from star formation and AGN.