Eduardo Scarparo

activity

20152026

most citedHomology of odometers

13 citations · 44 across the 14 of their papers we have counts for

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4 papers · 1 filter

math.GR2022

The AH conjecture for Cantor minimal dihedral systems

Eduardo Scarparo

The AH conjecture relates the low-dimensional homology groups of a groupoid with the abelianization of its topological full group. We show that transformation groupoids of minimal…

math.GR2021

A dichotomy for topological full groups

Eduardo Scarparo

Given a minimal action $α$ of a countable group on the Cantor set, we show that the alternating full group $A (α)$ 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 $T$ on $S^{1}$ is relatively amenable with respect to Thompson's grou…

math.GR2016★ 9 cited

Characterizations of locally finite actions of groups on sets

Eduardo Scarparo

We show that an action of a group on a set $X$ is locally finite if and only if $X$ is not equidecomposable with a proper subset of itself. As a consequence, a group is locally fin…