Affiliated algebras

Question

I am searching for articles on affiliated $C^*$-algebras and affiliated von Neumann algebras. I know that Wonorowicz wrote articles about this topic and also Pedersen wrote a section in his book "Analysis Now". Do you know other references or people which research topic are affiliated $C^*$-algebras and von Neumann algebras?

Thanks a lot.

Answer 1

You should distinguish the two almost unrelated notions: operators affiliated with $C^*$-algebras (in the sense of Woronowicz) and operators affiliated with von Neumann algebras.

The only book (as far as I know) which systematically studies operators affiliated with $C^*$-algebras is the

• E.C.Lance "Hilbert $C^*$-modules".

For operators affiliated with von Neumann algebras I would take a look at the standard monograph

• Kadison, Ringrose "Fundamentals of the theory of operator algebras. Vol I."