Do you get knocked out of the game (Lose) when your last star is taken even if you still have fleet flying? Or is the lose condition both 0 stars and 0 fleet/carrier?
As far as I experienced one is only wiped from the galaxy if one has no stars and no ships.
You can still keep going if you have a carrier flying with 0 stars… but lets face it you’re against the odds at that point 
I have thrown a carrier as far as i could as my last star has been taken so im in flight with zero stars, im still in the game but if you tick over production without any stars you dont get the benefits but if you take the star you land on you can keep playing