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started a Reference entry FHT theorem with a brief rough statement of what the theorem says. For the moment mainly in order to include pointers to where in the three articles the theorem is actually hidden (I think it is hidden quite well… ;-)
Completely agree with the remark! I went through this a couple of years ago with a student and at that time felt that I understood it (I still recall the “a-ha” moment) but sadly it seems to have slipped from my mind. I’ll see if I can dig out our notes.
I should maybe add: the equivalence itself between loop group representations and twisted equivariant K-theory is of course stated right at the beginning (at least of what is now called part I, which is of course the third article to appear!), but important it also how the equivalence is implemented, namely by forming families of Dirac operators on the circle in a way that has been studied long ago by Mickelsson and others. And I was a bit surprised about how long it took me to locate that statement in the article, even already knowing that it exists.
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