• Corpus ID: 238252991

A type I conjecture and boundary representations of hyperbolic groups

@inproceedings{Caprace2021ATI,
  title={A type I conjecture and boundary representations of hyperbolic groups},
  author={Pierre‐Emmanuel Caprace and Mehrdad Kalantar and Nicolas Monod},
  year={2021}
}
. We establish new results on the weak containment of quasi-regular and Koopman representations of a second countable locally compact group G associated with non-singular G -spaces. We deduce that any two boundary representations of a hyperbolic locally compact group are weakly equivalent. We also show that non-amenable hyperbolic locally compact groups with a cocompact amenable subgroup are characterized by the property that any two proper length functions are homothetic up to an additive… 
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