Unitary representations of groups of measure-preserving diffeomorphisms

1978 ◽  
Vol 11 (3) ◽  
pp. 229-230
Author(s):  
R. S. Ismagilov
2011 ◽  
Vol 97 (2) ◽  
pp. 157-165 ◽  
Author(s):  
Jean-Martin Paoli ◽  
Jean-Christophe Tomasi

Author(s):  
Anna Maria Mantero ◽  
Anna Zappa

AbstractLet G be a group acting faithfully on a homogeneous tree of order p + 1, p > 1. Let be the space of functions on the Poission boundary ω, of zero mean on ω. When p is a prime. G is a discrete subgroup of PGL2(Qp) of finite covolume. The representations of the special series of PGL2(Qp), Which are irreducible and unitary in an appropriate completion of , are shown to be reducible when restricted to G. It is proved that these representations of G are algebraically reducible on and topologically irreducible on endowed with the week topology.


2020 ◽  
Author(s):  
Bachir Bekka ◽  
Pierre de la Harpe

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