He knows he knows

I feel that Claudius knows that Hamlet is faking it. He does several differnt things to try to find out why Hamlet is crazy. I think that Claudius wants to expose Hamlet so that noone believes him and he can use his insanity as an excuse. He brings in Rosencrantz and Gildenstern to figure out what is up with Hamlet. He wants them to get a confession out of Hamlet or a reason as to why he is faking. I believe Claudius knows that Hamlet knows the truth about King Hamlet's murder. He also recognizes Hamlet's contempt for him, and sees this insanity as possibly a good excuse for Hamlet to do whatever he pleases. Hamlet tips of Claudius that he knows during the play when he is taking about the context of the play and says "Your majesty, and we that have free souls, it touches us not." Clearly a jab at the King, however the King simply cannot respond to it without affirming to Hamlet that he murdered. Claudius Now has to get the confession out of Hamlet before Hamlet gets his out of him.