isometric group actions
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2008 ◽  
Vol 60 (5) ◽  
pp. 1001-1009 ◽  
Author(s):  
Yves de Cornulier ◽  
Romain Tessera ◽  
Alain Valette

AbstractOur 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.


2008 ◽  
Vol 13 (1) ◽  
pp. 125-147 ◽  
Author(s):  
Yves De Cornulier ◽  
Romain Tessera ◽  
Alain Valette

2008 ◽  
Vol 60 (5) ◽  
pp. 1001
Author(s):  
Yves de Cornulier ◽  
Romain Tessera ◽  
Alain Valette

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