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Jun 10, 2020 at 18:11 vote accept Hollis Williams
Apr 26, 2020 at 20:05 history edited Hollis Williams CC BY-SA 4.0
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Apr 26, 2020 at 19:39 history edited Hollis Williams CC BY-SA 4.0
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Apr 26, 2020 at 19:05 comment added YCor The first one (on Haagerup) has been settled by Carette by combining work of Whyte [on QI between generalized Baumslag-Solitar groups) and myself–Valette (on the Haagerup property for generalized Baumslag-Solitar groups). But I'm not sure Whyte result on which it relies is confirmed. It roughly says "if 2 generalized BS groups (+ assumptions) have their associated acting groups at finite Hausdorff distance, then they are QI", so in principle it's not the hardest part of Whyte's preprint (the hardest part, not needed here, goes the reverse direction).
Apr 26, 2020 at 17:59 history answered Hollis Williams CC BY-SA 4.0