Is Bora Bora owned by France?

I'm curious, could you clarify for me whether Bora Bora is indeed under the ownership or jurisdiction of France? I've heard differing opinions on this matter and I'm eager to get a definitive answer. Is Bora Bora, as a territory, considered a part of France, or does it have a separate status altogether? It would be greatly appreciated if you could shed some light on this question.