Actually, vice is BE, vise is AE, so it depends on which spelling the author used in the story
And on topic: they're/their always pulls me out of the story.
Michael
PS: Thanks for pointing it out, this is one difference between AE and BE I wouldn't have guessed in a million years. And to make matters worse, it's one of the few words Word's spell checker won't highlight.
PPS: The series title 'Miami Vice' now makes so much more sense
