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math.GR2020★ 2 cited
A group with Property (T) acting on the circle
Bruno Duchesne
We exhibit a topological group with property (T) acting non-elementarily and continuously on the circle. This group is an uncountable totally disconnected closed subgroup of $\…
math.GR2020★ 4 cited
The Polish topology of the isometry group of the infinite dimensional hyperbolic space
Bruno Duchesne
We consider the isometry group of the infinite dimensional separable hyperbolic space with its Polish topology. This topology is given by the pointwise convergence. For non-locally…