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Jan 14, 2016 at 15:25 comment added Yemon Choi @SimonHenry Singular states are occasionally important for the same reason we might consider singular measures on $[0,1]$...
Jan 14, 2016 at 9:08 comment added Simon Henry Sorry, this has been edited... I tend to forget to say normal or weakly continuous when talking about von Neumann algebras as it is very rare to consider something that isn't (and I shouldn't have say "states" either as I was not specifically requiring that $\eta(1)=1$).
Jan 14, 2016 at 9:06 history edited Simon Henry CC BY-SA 3.0
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Jan 14, 2016 at 8:45 comment added Alain Valette @Yemon: indeed, and weakly continuous representations as well.
Jan 13, 2016 at 20:54 answer added André Henriques timeline score: 5
Jan 13, 2016 at 17:48 comment added Yemon Choi In your last paragraph, don't you mean that normal states on $C^*(G)^{**}$ correspond to positive-definite functions on $G$?
Jan 13, 2016 at 17:34 history asked Simon Henry CC BY-SA 3.0