G. G. Castro

collaborators

2 papers

math.OA2021

KMS states for generalized gauge actions on C*-algebras associated with self-similar sets

Gilles G. de Castro

Given a self-similar $K$ set defined from an iterated function system $Γ = (γ_{1}, \dots, γ_{n})$ and a set of function $H = {h_{i} : K \to R}_{i = 1}^{d}$ satisfying suitable conditions,…

math.DS2019

Topological full groups of ultragraph groupoids as an isomorphism invariant

Gilles Gonçalves de Castro, Daniel Gonçalves, Daniel W van Wyk

We prove two isomorphism-invariance theorems for groupoids associated with ultragraphs. These theorems characterize ultragraphs for which the topological full group of an associate…