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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.

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  • $\begingroup$ Do you mean "operators affiliated with $C^*$-algebras"? $\endgroup$
    – Yurii Savchuk
    Commented Feb 16, 2015 at 16:03
  • $\begingroup$ @YuriiSavchuk: Yes I mean this. $\endgroup$
    – Nguyệt Thùy
    Commented Feb 16, 2015 at 17:55

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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."
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