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Anton Petrunin
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Cobounded => cocompact?

Assume $\Gamma$ acts by isometries on a separable Hilbert space $H$, and $$\operatorname{diam} H/\Gamma\le 1.$$ Is it true that $H/\Gamma$ is compact?

Anton Petrunin
  • 45k
  • 14
  • 135
  • 299