Using ne at the end of the sentences

Japanese use to often say "ね" ("ne") at the end of sentences.

In many grammar books or other Japanese lessons, it is said that "ne" corresponds to something like "isn't it?" in English.

The problem is: it seems like Japanese use "ne" very often and sometimes it doesn't seem like meaning "isn't it"...

Example of a conversation:

"Watashi ha Kyoto ni sunde iru.
-Kyoto ni sunde iru n'desu ne !"

"I live in Kyoto
-oh you live in Kyoto isn't it!"

The right translation of "ne" cannot be "isn't it" in this case.
Has "ne" a larger meaning than "isn't it" ??

In your example, the "ne" doee not mean "is'n it." I think the "ne" shows agreement.

I live in Kyoto
-oh you live in KYOTO !

just repeat the same words. confirmation and/or agreement. during saying these words, she/he is thinking the next words to communicate with you.

In Japanese language the sound 'ne' is sometimes used at the end of a sentence to encourage your partner/listener to 'respond', in other words it's asking confirmation that you are listening!, usually responded with 'e', as in yes I'm litening or I understand what you are saying. It's also very polite to 'nod your head' during a conversation occassionally to show that you are listening/paying attention etc.

In your example, rather than "isn't it", it would be closer to say that "ne" means "don't you", i.e. You live in Kyoto, don't you! In English we have to change the verb and pronoun depending on the sentence, whereas in Japan all you need to use is "ne"- much simpler!