We have obtained high spatial resolution Keck OSIRIS integral field spectroscopy of four z \sim 1.5 ultra-luminous infrared galaxies that exhibit broad H \alpha emission lines indicative of strong AGN activity . The observations were made with the Keck laser guide star adaptive optics system giving a spatial resolution of 0.1 \arcsec or < 1 kpc at these redshifts . These high spatial resolution observations help to spatially separate the extended narrow-line regions — possibly powered by star formation — from the nuclear regions , which may be powered by both star formation and AGN activity . There is no evidence for extended , rotating gas disks in these four galaxies . Assuming dust correction factors as high as A ( H \alpha ) = 4.8 mag , the observations suggest lower limits on the black hole masses of ( 1 - 9 ) \times 10 ^ { 8 } M _ { \odot } , and star formation rates < 100 M _ { \odot } yr ^ { -1 } . The black hole masses and star formation rates of the sample galaxies appear low in comparison to other high- z galaxies with similar host luminosities . We explore possible explanations for these observations including , host galaxy fading , black hole growth , and the shut down of star formation .