Spectroscopic Confirmation of the Fifth Image of SDSS J1004+4112 and Implications for the M-BH-sigma(*) Relation at z=0.68

We present the results of deep spectroscopy for the central region of the Cluster lens SDSS J1004+4112 with the Subaru Telescope. A secure detection of an emission line of the faint blue stellar object (component E) near the center of the brightest cluster galaxy (G I) confirms that it is the central fifth image of the lensed quasar system. In addition, we measured the stellar velocity dispersion of G1 to be sigma(*) = 352 +/- 13 km s(-1). We combined these results to obtain constraints on the mass M-BH of the putative black hole (BH) at the center of the inactive galaxy G1, and hence on the M-BH-sigma(*) relation at the lens redshift z(1) = 0.68. From detailed mass modeling, we placed an upper limit on the black hole mass, M-BH <2.1 x 10(10)M(circle dot) at the 1 sigma level (<3.1 x 10(10)M(circle dot) at 3 sigma), which is consistent with black hole masses expected from the local and redshift-evolved MBH-or,, relations, MBH similar to 10(9)-10(10)M(circle dot).