4 papers
Paterson compactifications, inverse limits and shadowing for Deaconu-Renault systems
Daniel Gonçalves, Danilo Royer, Felipe Augusto Tasca
We develop a new metric and inverse-limit framework for Deaconu-Renault systems arising from local homeomorphisms between open subsets of locally compact zero-dimensional spaces. O…
Nonwandering sets and the entropy of local homeomorphisms
Daniel Gonçalves, Danilo Royer, Felipe Augusto Tasca
A local homeomorphism between open subsets of a locally compact Hausdorff space induces dynamical systems with a wide range of applications, including in C*-algebras. In this paper…
Globalization of partial inverse semigroupoid actions on sets
Paulinho Demeneghi, Felipe Augusto Tasca
We prove that every partial action of an inverse semigroupoid on a set admits a universal globalization. Moreover, we show that our construction gives a reflector from the category…
KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks
Felipe Augusto Tasca, Daniel Gonçalves
We extend ultragraph shift spaces and the realization of ultragraph C*-algebras as partial crossed products to include ultragraphs with sinks (under a mild condition, called (RFUM2…