Know (of)

Well, if you are a friend of Tom Cruise, then OK. But if you have never even met Tom Cruise then you might know of him, but you probably don't know him.

Know (without 'of)

If you know someone, then they also know you:

• you meet them either regularly or occasionally
• you know quite a lot about them
  (you probably know where they live)
• they know quite a lot about you
  (they probably know where you live)

Know of

If you know of someone, then they probably do not know you.

• you have never met them
• they have never met you
• if you know aything about them, this is probably because..
• you have read about them
• you have seen them in the media
• other people told you about them

The following would be more appropriate: