How can I stop sharing my music files?
That would be called seeding. While it is possible to get other things from seeding, such as taking other files that you are not sharing, that is a more difficult and tedious thing to do. By seeding you are for the most part safe. As for Azures, I switched to Utorrent myself (It uses less ram and takes up less HD space) but I believe you can pause sharing on the files you are seeding my simply right clicking the file in Azures. That or just exit the program.
How can I stop sharing my music files?
How can I stop sharing my music files?
You are correct, as no one has been sued for downloading copyrighted information, only uploading it. However, the BitTorrent protocol will not allow you to download information without uploading some as well. There is no way to simply stop uploading in Azureus. What you can do is not seed anything you download. As long as you're not a member of any private tracker sites that monitor your share ratio, you'll still be able to download whatever you want with minimal uploading. It's just impossible to completely eliminate the risk of being caught due to the nature of the BitTorrent protocol. Do make sure that you have set Azureus to use non-standard ports, though. Those use use the default ports are those who are most easily caught in the act.