TITLE: Quantum mechanics for mathematicians
QUESTION [19 upvotes]: I'm looking for books about quantum mechanics (or related fields) that are written for mathematicians or are more mathematically inclined.
Of course, the field is very big so I'm in particular looking for books that explain how C*-algebras and von Neumann-algebras are used, I want to see "practical" applications of those.
What I know is not much more than Griffiths' book (I don't like that book!) contains. I have in my possession the books by Claude Cohen-Tannoudji but they don't seem to contain this.

REPLY [2 votes]: If you want to look at a book that centralizes the role of an algebras of observables (operator algebras) in quantum theory, you should look at the book written by one of the founders of this approach. I recommend "Local Quantum Physics" by Rudolf Haag. 
Furthermore, I think Reed and Simon's Vol.1 "Functional Analysis" will be very helpful here. Read the first two, and the last three chapters. While you are doing this, I strongly recommend you use Vaughan Jones' notes on Von Neumann Algebras (http://www.math.berkeley.edu/~vfr/MATH20909/VonNeumann2009.pdf). There is a section in there about Bosons and Fermions.