TITLE: On connection between Knot theory and Operator algebra
QUESTION [17 upvotes]: What exactly is the connection between knots and operator algebra? I heard that Jones established such a connection while discovering the celebrated Jones Polynomial. 
Now Jones Polynomial is probably understood out of that context on its own, but what was it with Operator algebras in this space ? Can someone explain in plain English?
As is probably very evident, I am a complete newbie to this area.

REPLY [2 votes]: you may looks into David Evans monumental book on quantum symmetries on operator algebras