1 citations · 1 across the 5 of their papers we have counts for
11 papers
Algebraic expansivity on abelian groups
Mauricio Achigar
Building on the author's earlier work on topological and abstract expansivity, this paper introduces and explores the notion of algebraic expansivity for endomorphisms of abelian g…
Abstract entropy and expansiveness
Mauricio Achigar
We present a general definition of entropy in the setting of pre-ordered semigroups, extending the notion of topological entropy. From our definition, we obtain the basic propertie…
Expansive systems on lattices
Mauricio Achigar
We study expansive dynamical systems in the setting of distributive lattices and their automorphisms, the usual notion of expansiveness for a homeomorphism of a compact metric spac…
Extensions of Expansive Dynamical Systems
Mauricio Achigar
We characterize and describe the extensions of expansive and Anosov homeomorphisms on compact spaces. As an application we obtain a stability result for extensions of Anosov system…
A note on Anosov homeomorphisms
Mauricio Achigar
For an -expansive homeomorphism of a compact space we give an elementary proof of the following well-known result in topological dynamics: A sufficient condition for the homeomo…
New cw-expansive homeomorphisms of surfaces
Mauricio Achigar, Alfonso Artigue, José Vieitez
In this article we characterize monotone extensions of cw-expansive homeomorphisms of compact metric spaces. We study the topology of its quotient space in the case of a compact su…
Observing expansive maps
Mauricio Achigar, Alfonso Artigue, Ignacio Monteverde
We consider the problem of the observability of positively expansive maps by the time series associated to continuous real functions. For this purpose we prove a general result on…
Green's theorem for crossed products by Hilbert -bimodules
Mauricio Achigar
Green's theorem gives a Morita equivalence for a closed subgroup of a locally compact group acting on a -algebra . We prove an…
Expansive Homeomorphisms on non-Hausdorff Spaces
Mauricio Achigar, Alfonso Artigue, Ignacio Monteverde
We study expansive dynamical systems from the viewpoint of general topology. We introduce the notions of orbit and refinement expansivity on topological spaces extending expansivit…
The Stable Rank of C*-modules
Mauricio Achigar
We prove equality between the Topological Stable Rank and the Bass Stable Rank for finitely generated projective left modules over a unital C*-algebra. In order to do so, the conce…
Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodules
Beatriz Abadie, Mauricio Achigar
Given a correspondence X over a C*-algebra A, we construct a C*-algebra and a Hilbert C*-bimodule over it whose crossed product is isomorphic to the augmented Cuntz-Pimsner C*-alge…