From the 1 of 12 linked papers with an AI index.
12 papers
Mixed-identity-freeness and primitivity of group rings
Felipe I. Flores
The paper proves that any countable mixed-identity-free group containing a non‑abelian free subgroup has a primitive group ring over any field, using a new dynamical criterion that…
Selfless inclusions arising from commensurator groups of hyperbolic groups
Aaratrick Basu, Felipe Flores
We provide new examples of -selfless groups and inclusions. In particular, we prove that the commensurator group of a torsion-free hyperbolic group $H…
Pureness and stable rank one for reduced twisted group -algebras of certain group extensions
Felipe Flores, Mario Klisse, MÃcheál à Cobhthaigh +1
The purpose of this note is to prove two results. First, we observe that discrete groups with property in the sense of Ozawa give rise to completely sel…
On the continuity of derivations over locally regular Banach algebras
Felipe I. Flores
We study the problem of continuity of derivations over Banach algebras. More specifically, we consider a class of Banach algebras that contain a dense '-like' subalgebra. We d…
On the topological ranks of Banach -algebras associated with groups of subexponential growth
Felipe I. Flores
Let be a group of subexponential growth and a Fell bundle. We show that any Banach -algebra that sits between the associated -algebra…
Kesten's criterion for discrete probability measure-preserving groupoids
Soham Chakraborty, Milan Donvil, Felipe Flores +1
Inspired by Kesten's criterion for the amenability of groups, we establish a characterization of the amenability of discrete probability measure-preserving groupoids in terms of th…