acknowledge,
admit accept (someone) to be what is claimed or accept his power and authority; "The Crown Prince was acknowledged as the true heir to the throne"; "We do not recognize your gods"
fess up,
make a clean breast of,
own up admit or acknowledge a wrongdoing or error; "the writer of the anonymous letter owned up after they identified his handwriting"
concede -
give over; surrender or relinquish to the physical control of another