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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJul 12th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexcreated _[[C-star algebraic deformation quantization]]_

   created C-star algebraic deformation quantization

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeJul 12th 2012
   • PermaLink
   Author: zskoda
   Format: MarkdownItexMy 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.

   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.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJul 12th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexThat 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!

   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!

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeJul 12th 2012
   • (edited Jul 12th 2012)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexI 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 * Marc Rieffel, _Deformation quantization and operator algebras_, in: Operator theory: operator algebras and applications, Part 1 (Durham, NH, 1988), 411–423, Proc. Sympos. Pure Math., 51, Part 1, Amer. Math. Soc. 1990, [MR91h:46120](http://www.ams.org/mathscinet-getitem?mr=1077400) and then * Marc Rieffel, _Deformation quantization for actions of $\mathbb{R}^d$_, Mem. Amer. Math. Soc. __106__ (1993), no. 506, x+93 pp. [MR94d:46072](http://www.ams.org/mathscinet-getitem?mr=1184061)

   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

   • Marc Rieffel, Deformation quantization and operator algebras, in: Operator theory: operator algebras and applications, Part 1 (Durham, NH, 1988), 411–423, Proc. Sympos. Pure Math., 51, Part 1, Amer. Math. Soc. 1990, MR91h:46120

   and then

   • Marc Rieffel, Deformation quantization for actions of $\mathbb{R}^d$, Mem. Amer. Math. Soc. 106 (1993), no. 506, x+93 pp. MR94d:46072
5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJul 12th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks!!

   Thanks!!

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeJul 12th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexDid you see that Rieffel has these and more as pdf-s linked from [his webpage](http://math.berkeley.edu/~rieffel/)? I have added one more reference to the entry, taken from there.

   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.

7. • CommentRowNumber7.
   • CommentAuthorzskoda
   • CommentTimeJul 12th 2012
   • PermaLink
   Author: zskoda
   Format: MarkdownItexThank you, as well!I did not look at his page for quite a while...

   Thank you, as well!I did not look at his page for quite a while…

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeSep 12th 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have expanded the Idea-section at _[[strict deformation quantization]]_ a bit more; also the Idea-section at _[[non-perturbative quantum field theory]]_.

   I have expanded the Idea-section at strict deformation quantization a bit more; also the Idea-section at non-perturbative quantum field theory.