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We present ALMA observations of the 870$\mu$m continuum and CO(4-3) lineemission in the core of the galaxy cluster ClJ1449+0856 at z=2, a NIR-selected,X-ray detected system in the mass range of typical progenitors of today'smassive clusters. The 870$\mu$m map reveals six F$_{870\mu m}$ > 0.5 mJysources spread over an area of 0.07 arcmin$^2$, giving an overdensity of afactor ~10 (6) with respect to blank field counts down to F$_{870\mu m}$ > 1(0.5) mJy. On the other hand, deep CO(4-3) follow-up confirms membership ofthree of these sources, but suggests that the remaining three, including thebrightest 870$\mu$m sources in the field (F$_{870\mu m}\gtrsim$2 mJy), arelikely interlopers. The measurement of 870$\mu$m continuum and CO(4-3) linefluxes at the positions of previously-known cluster members provides a deepprobe of dusty star formation occurring in the core of this high-redshiftstructure, adding up to a total SFR~700$\pm$100 M$_{\odot}$/yr and yielding anintegrated star formation rate density of ~10$^4$ M$_{\odot}$/yr/Mpc$^3$, fiveorders of magnitude larger than in the field at the same epoch, due to theconcentration of star-forming galaxies in the small volume of the dense clustercore. The combination of these observations with previously available HSTimaging highlights the presence in this same volume of a population of galaxieswith already suppressed star formation. This diverse composition of galaxypopulations in ClJ1449+0856 is especially highlighted at the very clustercenter, where a complex assembly of quiescent and star-forming sources islikely forming the future Brightest Cluster Galaxy.

Deciphering the activity and quiescence of high-redshift cluster environments: ALMA observations of ClJ1449+0856 at z=2