GdT Actions !

Luiz Gustavo Cordeiro : "Topological dynamics, inverse semigroups and orbit equivalence"




Abstract: In this talk I will present actions of inverse semigroups, which have been playing an increasingly important role in the study of topological dynamical systems and their associated algebras. These are generalizations of group actions which allow the study of dynamical systems induced by sets of partial transformations, and thus cover a larger class of systems than those given by group actions. As a motivation, we will start by looking at continuous orbit equivalences of graphs, which relates the asymptotic behaviour of their walks, and our main goal will be to relate that to the continuous orbit equivalence of semigroup actions, isomorphisms of groupoids, and isomorphisms of algebras.