After I installed the program and use it for a time. I did a Anti-Spy scan and the results tell me that Lime Wire has Spyware/Adware. I want to know why this is and what right do you have to look at my activities on my computer?

I can assure you that there isn't any adware/spyware bundled with it. I've noticed it depends on what program you scan with. Spybot didn't give me any red flags, neither did adaware. However, the microsoft antispyware will detect it. But, it also detects other things that aren't threats as well. I haven't used any others, but I've personally been running Limewire ever since it became open source and have never had a problem. I don't recall how long ago that was (2 or 3 yrs), but not one issue for me.