The type I group conjecture on cocompact amenable subgroups
Let be a second countable locally compact group. Type I group conjecture. If is type~I, then admits a cocompact amenable subgroup. This proposes a structural consequence of the type I property for locally compact groups; the source gives no resolution in general.
References
Primary source
Pierre-Emmanuel Caprace, Mehrdad Kalantar and Nicolas Monod, “A type I conjecture and boundary representations of hyperbolic groups”, arXiv:2110.00190 (2022).
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