We present Hobby-Eberly Telescope ( HET ) observations for galaxies at redshift z < 0.3 from the Sloan Digital Sky Survey ( SDSS ) showing large velocity dispersions while appearing to be single galaxies in HST Â images . The high signal-to-noise HET spectra provide more definitive velocity dispersions . The maximum velocity dispersion we find is \sigma _ { * } = 444 ~ { } km~ { } s ^ { -1 } . Emission-line widths in QSOs indicate that black holes can exist with masses M _ { \bullet } Â exceeding 5Â billion M _ { \odot } , implying \sigma _ { * } > 500 ~ { } km~ { } s ^ { -1 } by the local M _ { \bullet } - \sigma _ { * } Â relationship . This suggests either that QSO black hole masses are overestimated or that the black hole - bulge relationship changes at high black hole mass . The latter option is consistent with evidence that the increase in \sigma _ { * } Â with luminosity levels off for the brightest elliptical galaxies .