If it's a purple t-shirt, then white trousers and shoes, and for purple trousers, a white t-shirt, then white or black shoes. Also, any hairstyle or colour (if you were wondering!) and that's about...
Alone they do not. One way of making it work is setting a good contrasting color like black, white, beige etc. then choosing whether to wear a lot of purple and a little red or the other way around....