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Aug 7 at 9:52 vote accept Sean Eberhard
Jul 28 at 21:30 comment added HJRW I suspect the dimension-two case only needs Nielsen realisation.
Jul 28 at 19:36 history edited Moishe Kohan CC BY-SA 4.0
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Jul 28 at 18:55 history edited YCor CC BY-SA 4.0
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Jul 28 at 17:24 history edited Moishe Kohan CC BY-SA 4.0
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Jul 28 at 9:19 comment added YCor Thanks, I see. So QI rigidity allows to encompass $k_i=2$.
Jul 27 at 23:04 comment added Moishe Kohan @YCor: Kleiner-Leeb would be an overkill, I use the fact that the automorphism group of a lattice is a bigger lattice, which follows from Mostow (one first passes to a finite index subgroup in $G_i$ to ensure normality).
Jul 27 at 21:41 comment added YCor When you say "by Mostow rigidity": I know this as a consequence of QI rigidity (it is explicitly stated in one of the Kleiner-Leeb papers), but do not see immediately why it follows from Mostow rigidity.
Jul 27 at 20:28 history answered Moishe Kohan CC BY-SA 4.0