Sorry... For What?

I keep seeing people apologize for things they didn't do, I don't understand why.  My neighbors house was broken into one night while I was sleeping.  Should I go apologize on behalf of the burglar?  I think it would mean more if the burglar apologized.  I think my apology would be meaningless if I am in no way responsible.  Am I guilty by association because we are both Canadians, even though Canadian law does not condone burglary?  Am I guilty because my tax dollars pay for police to protect and serve but they were to busy catching speeders and doughnuts?  Am I at fault because I was sleeping at the time and knew nothing about what was going on and did nothing?  Or am I guilty because my skin color matches the suspect?  How can I take responsibility for something I did not do?  If someone stole from me I would want that person to be caught, not some innocent third party.  Now if some innocent third party wanted to help recoup my loses I wouldn't turn down free money but it wouldn't change how I feel about the perpetrator of the crime.  Once upon a time a white, Canadian, female stole some money from me.  If every white person, every Canadian, and every female would pay me money I would be rich but only one person can say sorry.  I can only take responsibility for something that I am responsible for.  Taking on someone else s guilt does not absolve me of mine and is meaningless to the one hurt.