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Piecewise strongly proximal actions, free boundaries and the Neretin groups

Piecewise strongly proximal actions, free boundaries and the Neretin groups

A closed subgroup H of a locally compact group G is confined if the closure of the conjugacy class of H in the Chabauty space of G does not contain the trivial subgroup.We establish a dynamical criterion on the action of a totally disconnected locally compact group G on a …