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math.DS2024
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…
math.RA2024
The socle of subshift algebras, with applications to subshift conjugacy
Daniel Gonçalves, Danilo Royer
We introduce the concept of "irrational paths" for a given subshift and use it to characterize all minimal left ideals in the associated unital subshift algebra. Consequently, we c…