The only three breeds we know of that can be AKC registered as the color, “lilac” are the Border Collie, Chinese Shar Pei, and the Peruvian Inca Orchid Dog. Image of Peruvian Inca Orchid Dog found on Wikicommons 
The Only Three Breeds That Can Be AKC Registered as “lilac”
And, American Hairless Terrier! <3