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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeSep 15th 2019
• (edited Sep 15th 2019)

for the equivariant+twisted version I added further pointer to

• CommentRowNumber2.
• CommentAuthorDavidRoberts
• CommentTimeSep 15th 2019
• (edited Sep 15th 2019)

I have reservations about that paper of Moutuou.

In this paper it is pointed out in footnote 1 on page 5 that the concrete examples therein

…seem to be at odds with the results of [7] if their correspondence between Real continuous trace $C^*$-algebras and Real bundle gerbes is a straightforward generalisation of the complex case.

where the paper [7] (here) says “Moutuou’s classification of possible twists of KR coincides with ours”, and cite his paper in #1. It is my understanding that the quote above is very carefully phrased.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeSep 15th 2019
• (edited Sep 15th 2019)

Thanks for highlighting. Yes, it has been the comment in [7] that led me to Moutuou.

• CommentRowNumber4.
• CommentAuthorDavidRoberts
• CommentTimeSep 15th 2019
• (edited Sep 15th 2019)

I’m not sure, but Richard Szabo or Pedram Hekmati might know. (Edit this was in response to a now-deleted reference request)

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeSep 15th 2019
• (edited Sep 15th 2019)

Thanks, yeah, after writing it I saw how they did it.

I may sure contact the authors, but maybe you know sbout the following already: In the intro they recall the open problems with O-plane charge in KR. Do they then claim to solve these or just to clarify the issues?

I still need to read in more detail…

• CommentRowNumber6.
• CommentAuthorDavidRoberts
• CommentTimeSep 15th 2019

I think the idea was really to make some concrete calculations to clarify the situation about the possible twists of KR-theory, following up on this paper, given the confusion around the existing literature. This earlier paper is more theory-oriented.

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeSep 15th 2019

Thanks, I have read it now. I see.

• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeSep 15th 2019

Hm, few of these and related articles seem to have been published. (?)

• CommentRowNumber9.
• CommentAuthorDavidRoberts
• CommentTimeSep 15th 2019

As far as the Hekmati et al papers go, the first is to appear in ATMP, the second still under consideration at a journal. Or are you talking about the papers in #1?

• CommentRowNumber10.
• CommentAuthorUrs
• CommentTimeSep 16th 2019

Thanks, I’ll put “to appear in ATMP” then.