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Nov 17, 2009 at 10:20 comment added Andrew Stacey (Yes, Enflo. Was half-asleep at the time. Thanks.) Surely the people who've thought about Fell-Doran know about the approximation problem, so there must be something extremely non-trivial in the technicalities.
Nov 17, 2009 at 9:25 comment added Matthew Daws You mean Enflo ;-> But that's a great idea! Yes, if $X$ fails to have the approximation property, then "morally" (this area is full of technicalities) your algebra $A$ (being the finite ranks with unity) cannot be strongly dense, but it does have the other properties... The problem is that "morally" does not equal "proof".
Nov 16, 2009 at 20:05 history edited Andrew Stacey CC BY-SA 2.5
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Nov 16, 2009 at 19:07 history answered Andrew Stacey CC BY-SA 2.5