There's loads of Jazz in Luzern, I'm not a huge fan myself, but there's stuff I like, so will go and check stuff out occasionally.
The music school in luzern is quite famous, it's associated with the Jazzkantine bar and they put on many Jazz nights. http://www.jazzkantine.ch/
KKL has many concerts, I just saw Herbie Hancock Will be playing in December. http://www.jazzluzern.ch/konzerte/it...e-hancock.html
The Montana hotel is another famous location that has regular sessions. http://www.hotel-montana.ch/thejazzlegends
There's a ton load of talented musicians in the area, and you can find live music all over town if you look. I regularly check http://luzern.usgang.ch/
for ideas. It has most clubs and bars doing events there, but if you're into the scene, I'd recommend getting to know people in the scene, there are smaller venues and locations that don't really advertise but put on great stuff.