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My impression is that you are here talking about a particular construction of strict deformation of Rieffel which takes polarization as part of the input. On the other hand, Rieffel’s defining of strict quantization is just a C-star algebraic deformation with strong properties enough to be sensible for C-star framework. I assume that the entry could in principle be about the general case, while Landsman has geometric-like case which is a richer case, still satisfying the general framework. But maybe I am wrong.
That sounds good. I just briefly looked at my old notes. I haven’t actually looked at Rieffel’s stuff. If you have it in reach, please add it to the entry!
I know that he has invented the concept in late 1980-s, but the earliest reference I can find on MathSciNet on this seems to be
and then
Thanks!!
Did you see that Rieffel has these and more as pdf-s linked from his webpage?
I have added one more reference to the entry, taken from there.
Thank you, as well!I did not look at his page for quite a while…
I have expanded the Idea-section at strict deformation quantization a bit more; also the Idea-section at non-perturbative quantum field theory.
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