In this section
@article{Evans:2016:10.4064/fm232-1-4,
author = {Evans, DM and Tsankov, T},
doi = {10.4064/fm232-1-4},
journal = {Fundamenta Mathematicae},
pages = {49--63},
title = {Free actions of free groups on countable structures and property (T)},
url = {http://dx.doi.org/10.4064/fm232-1-4},
volume = {232},
year = {2016}
}
TY - JOUR
AB - We show that if G is a non-archimedean, Roelcke precompact Polish group, then G has Kazhdan's property (T). Moreover, if G has a smallest open subgroup of finite index, then G has a finite Kazhdan set. Examples of such G include automorphism groups of countable ω-categorical structures, that is, the closed, oligomorphic permutation groups on a countable set. The proof uses work of the second author on the unitary representations of such groups, together with a separation result for infinite permutation groups. The latter allows the construction of a non-abelian free subgroup of G acting freely in all infinite transitive permutation representations of G.
AU - Evans,DM
AU - Tsankov,T
DO - 10.4064/fm232-1-4
EP - 63
PY - 2016///
SN - 1730-6329
SP - 49
TI - Free actions of free groups on countable structures and property (T)
T2 - Fundamenta Mathematicae
UR - http://dx.doi.org/10.4064/fm232-1-4
UR - http://hdl.handle.net/10044/1/29998
VL - 232
ER -