B.G.
HI G.,
My little guy (now 5) gave up his nap very early at about 20 months. Believe me, I fought it for a while, but finally realized he was done with naps. My pediatrician said it was perfectly fine to leave him in the crib awake, but for no more than 1 hour. That time alone is great for teaching kids how to play on their own. The transition to no nap was harder for me, but that quiet time after lunch always helped. You do get used to not having that time for yourself and all that time the baby has alone in the crib will allow her to play independently so you can get some chores done.
Hope this helps. Good luck!
B.