adopted father

The writer must have made a mistake. This "adopted father" should be "adoptive father", right?

330-312
ex)On August 19 of the year A.D. 14, Augustus Caesar died at age 77. Two days later, the Roman Senate enrolled him among the gods of the Roman state. And while being regarded as a god by....Just after his great-uncle and adopted father Julius Caesar's murder in 44 B.C., the young man interpreted a comet as evidence...

I think so.

NOT A TEACHER

I think so, too :-).

The difference between adopted and adoptive is best explained with a simple example:
Mr Smith says, "Sarah is my adopted daughter."
Sarah says, "He is my adoptive father."

Charles loved his adopted daughter as if she were his own.
Rebecca loved her adoptive father as if he were her own.
The difference between adopted and adoptive (grammar lesson)

I wonder how many natives would make the distinction here. But you are absolutely correct.