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edited Oct 22, 2010 at 2:43

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?

mg.metric-geometry group-actions

asked Oct 21, 2010 at 23:24

Anton Petrunin