# $C^*$-algebras, von Neumann algebras, unbounded operators and quantum mechanics in connection

I am studying the theory of $C^*$-algebras, von Neumann algebras and unbounded operators in courses on Functional Analysis and Opertor Algebras. Now I want to apply this knowledge to (algebraic) quantum mechanics. I heard that one can "affiliate" unbounded operators to $C^*$-algebras and von Neumann algebras of special types. In particular, many operators in quantum mechanics are unbounded and many authors use the $C^*$-algebraic description of quantum mechanics. How can i connect now unbounded operators to $C^*$-algebras in the context of quantum mechanics? Are there good books where I can study this? Is is possible to describe quantum mechanics with affiliated $C^*$-algebras? Another approach to describe quantum mechanics is via the Weyl-$C^*$-algebra, the $CCR$ and $CAR$ relations and Fock spaces. I know the book from Bratteli about this, but are there also other good book about this topic? Can one connect this two approches of quantum mechanics with each other?