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We present ALMA CO(1-0) observations toward the dust lane of the nearestelliptical and radio galaxy, NGC 5128 (Centaurus A), with high angularresolution ($\sim$ 1 arcsec, or 18 pc), including information from large tosmall spatial scales and total flux. We find a total molecular gas mass of1.6$\times$10$^9$ $M_\odot$ and we reveal the presence of filamentarycomponents more extended than previously seen, up to a radius of 4 kpc. We findthat the global star formation rate is $\sim$1 \Msol yr$^{-1}$, which yields astar formation efficiency (SFE) of 0.6 Gyr$^{-1}$ (depletion time $\tau =$1.5Gyr), similar to those in disk galaxies. We show the most detailed view to date(40\,pc resolution) of the relation between molecular gas and star formationwithin the stellar component of an elliptical galaxy, from several kpc scale tothe circumnuclear region close to the powerful radio jet. Although on averagethe SFEs are similar to those of spiral galaxies, the circumnuclear disk (CND)presents SFEs of 0.3 Gyr$^{-1}$, lower by a factor of 4 than the outer disk.The low SFE in the CND is in contrast to the high SFEs found in the literaturefor the circumnuclear regions of some nearby disk galaxies with nuclearactivity, probably as a result of larger shear motions and longer AGN feedback.The higher SFEs in the outer disk suggests that only central molecular gas orfilaments with sufficient density and strong shear motions will remain in$\sim$1 Gyr, which will later result in the compact molecular distributions andlow SFEs usually seen in other giant ellipticals with cold gas.

Star Formation Efficiencies at Giant Molecular Cloud Scales in the Molecular Disk of the Elliptical Galaxy NGC 5128 (Centaurus A)