"وِلاية جورْجْيا مَشْهورة."
Translation:The state of Georgia is famous.
Because it is a definite noun. You don't have to have ال to make it specific only.
e.g. ولايتي is My state And ولايتك is your state And ولايته is his state And ولاية كاليفورنيا is The state of California These are all definite nouns
While ولاية جميل is a beautiful state And ولاية كبير is a big state These are indefinite nouns.
I hope this helps. I have explained to the best of my knowledge.