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math.GR2021
A dichotomy for topological full groups
Eduardo Scarparo
Given a minimal action of a countable group on the Cantor set, we show that the alternating full group is non-amenable if and only if the topological full group…
math.GR2021
Relatively amenable actions of Thompson's groups
Eduardo Scarparo
We investigate the notion of relatively amenable topological action and show that the action of Thompson's group on is relatively amenable with respect to Thompson's grou…
math.OA2021
Boundary maps and covariant representations
Mehrdad Kalantar, Eduardo Scarparo
We extend applications of Furstenberg boundary theory to the study of -algebras associated to minimal actions of discrete groups on locally compa…