Isometric group actions on Hilbert spaces: Structure of orbits
Author(s)
Date issued
2008
In
Canadian Journal of Mathematics-Journal Canadien De Mathematiques
Vol
5
No
60
From page
1001
To page
1009
Subjects
affine actions Hilbert spaces minimal actions nilpotent groups REPRESENTATIONS RIGIDITY
Abstract
Our main result is that a finitely generated nilpotent group has no isometric action on an infinite-dimensional Hilbert space with dense orbits. In contrast, we construct such an action with a finitely generated metabelian group.
Publication type
journal article