TITLE: Book on Hochschild (co)homology
QUESTION [37 upvotes]: There is currently no treatise treating Hochschild (co)homology systematically. There is a chapter in Weibel's book, there's parts of Loday's and a few others...

What should be covered by such a mythical treatise?

REPLY [2 votes]: There is so much on this subject coming from different perspectives. 
 I would add to all of the above  a complete, up to date, exposition regarding the relationship of Hochschild homology with loop spaces (for example including the non-simply connected case) and string topology (the structure of the hochschild chain complex of an algebra with a homotopy version of Poincaré duality, etc...)