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Extreme points of the set of all traces

Please read this as a long comment for your reference request about the group $C^{\ast}$-algebra and the group von-Neumann algebra. Let $G$ be a locally compact group. It is common to denote the group ...
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Which elements live in the image of the canonical map $X \otimes_\mathcal{F} M \to B(M_*, X)$?

I follow the book of Effros+Ruan (which is a book, so not viewable online, but really is the nicest source I think). For any operator spaces $X,Y$ we can consider the operator space projective tensor ...
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