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Mar 21 at 10:33 comment added Antonio Lorenzin This is also known from the C*-algebra perspective: see Proposition 1.1 of Wright's paper "Regular $\sigma$-completions of C*-algebras" (londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/…) and compare it with Remark 5.3.4.(iii) in Saito and Wright's book "Monotone complete C*-algebras and Generic Dynamics" (link.springer.com/book/10.1007/978-1-4471-6775-4).
Jun 9, 2020 at 22:19 comment added Terry Tao Thanks for this! In fact a discrepancy between that corollary and what was claimed here made me realise a subtle error in my argument, now fixed.
Jun 9, 2020 at 22:18 history edited Terry Tao CC BY-SA 4.0
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Jun 9, 2020 at 18:49 comment added Robert Furber See Corollary 3.1 of F. M. Yaqub's paper: projecteuclid.org/euclid.pjm/1103035763 (I also independently discovered this result in 2017, and then only found Yaqub's paper much later by accident).
Jun 9, 2020 at 17:39 history edited Terry Tao CC BY-SA 4.0
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Jun 9, 2020 at 17:02 history answered Terry Tao CC BY-SA 4.0