Eduardo Scarparo

activity

20182021

collaborators

6 papers

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.OA2020

Boundary maps, germs and quasi-regular representations

Mehrdad Kalantar, Eduardo Scarparo

We investigate the tracial and ideal structures of $C^{*}$ -algebras of quasi-regular representations of stabilizers of boundary actions. Our main tool is the notion of boundary maps,…

math.OA2020

Almost finiteness and homology of certain non-free actions

Eduard Ortega, Eduardo Scarparo

We show that Cantor minimal $Z ⋊ Z_{2}$ -systems and essentially free amenable odometers are almost finite. We also compute the homology groups of Cantor minimal…

math.OA2020

A torsion-free algebraically C*-unique group

Eduardo Scarparo

Let $p$ and $q$ be multiplicatively independent integers. We show that the complex group ring of $Z [\frac{1}{pq}] ⋊ Z^{2}$ admits a unique $C^{*}$ -norm.…

math.OA2018

Homology of odometers

Eduardo Scarparo

We compute the homology groups of transformation groupoids associated with odometers and show that certain infinite dihedral group odometers give rise to counterexamples to the HK…

math.OA2018

$C^{*}$ -simplicity and representations of topological full groups of groupoids

Kevin Aguyar Brix, Eduardo Scarparo

Given an ample groupoid $G$ with compact unit space, we study the canonical representation of the topological full group $[[G]]$ in the full groupoid $C^{*}$ -algebra $C^{*} (G)$ . In par…

Relatively amenable actions of Thompson's groups

Boundary maps, germs and quasi-regular representations

Almost finiteness and homology of certain non-free actions

A torsion-free algebraically C*-unique group

Homology of odometers

C∗-simplicity and representations of topological full groups of groupoids

$C^{*}$ -simplicity and representations of topological full groups of groupoids