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The physical quantity that directly controls the feedback of active galacticnuclei (AGNs) in galactic nuclei (AGN) in elliptical galaxies remains to bedetermined. The discovery of molecular gas around the AGNs suggests that thegas is fueling the AGNs. Therefore, we analyze Atacama LargeMillimeter/submillimeter Array (ALMA) data on CO line (J=1-0, 2-1, 3-2)emission and estimate the mass of molecular gas within 500pc of the center of12 normal elliptical galaxies and 10 of the brightest cluster galaxies (BCGs).We find that the mass (M_mol~10^5-10^9 M_sun) has a correlation with the jetpower of their AGNs, which is represented byP_cav~6.2x10^42(M_mol/10^7M_sun)^{0.68} erg s^{-1}. We also find that M_mol iscorrelated with the AGN continuum luminosities at ~1.4GHz (L_{1.4}) and~100-300GHz (L_con). Since P_cav reflects galactic-scale, long-term AGNactivity, while the continuum luminosities reflect local (~<500pc), short-termAGN activity, our results suggest that the AGN activity depends on the amountof the gas, regardless of its time scale. On the other hand, we cannot find aclear correlation between the mass of the black holes in the AGNs (M_BH) andP_cav. While this is probably because the black holes in our sample galaxieshave similar masses, it suggests that M_mol, rather than M_BH, is the mainfactor that controls the AGN activity. We confirm that the origin of thecontinuum emission from the AGNs at ~1.4-300GHz is mostly synchrotronradiation.

The relationships between AGN power and molecular gas mass within 500 pc of the center of elliptical galaxies