Of course it wasn't named for him; he was nick-named for it.
The Romans had a system of names to identify with their "gens". The order in which they were known were ""nomen" (gens name) "cognomen" (branch of the gens) and the "cognomen ex virtute". We would call this a "nick-name" today. "Caesar" was Gaius Iulius' "nick-name".
In any case, many words and titles have come from his nick-name, including Kaiser, Tzar and the word Jersey, after which the Channel Island was named and the State of New Jersey (Nova Caesarea).
The English word "scissor" is derived from it, as well.
RE: Misconception #8: Caesarian C-Section Is Named After Julius Caesar