Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Mauricio Achigar"'
Autor:
Mauricio Achigar
Publikováno v:
Axioms, Vol 8, Iss 2, p 54 (2019)
For an α -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 homeomorphism to have the shadowing property is that it has the α -shadowing
Externí odkaz:
https://doaj.org/article/ff944439963748119107d731e8fa716b
Publikováno v:
Journal of the London Mathematical Society. 98:501-516
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 the generic observability of a locally injective map of a compact metr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0456f0b4c0a8bc2e244f204d8b76dd8f
https://doi.org/10.1112/jlms.12134
https://doi.org/10.1112/jlms.12134
Autor:
Mauricio Achigar
Publikováno v:
Discrete & Continuous Dynamical Systems. 41:3093
We characterize and describe the extensions of expansive and Ano- sov homeomorphisms on compact spaces. As an application we obtain a stability result for extensions of Anosov systems, and show a construction that embeds any expansive system inside a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c4bd393ee92cb118036c5cc134abe38
https://doi.org/10.3934/dcds.2020399
https://doi.org/10.3934/dcds.2020399
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 surface. These results are applied to prove that there are cw-expansive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52c559643c930fca82550ac8faa81913
Autor:
Mauricio Achigar
Publikováno v:
Ann. Funct. Anal. 8, no. 3 (2017), 281-290
Green’s theorem gives a Morita equivalence $C_{0}(G/H,A)\rtimes G\simA\rtimes H$ for a closed subgroup $H$ of a locally compact group $G$ acting on a $C^{*}$ -algebra $A$ . We prove an analogue of Green’s theorem in the case $G=\mathbb{Z}$ , wher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::889a3efc5b637db48283c1e180e33ccb
http://arxiv.org/abs/1604.04889
http://arxiv.org/abs/1604.04889
We study expansive dynamical systems from the viewpoint of general topology. We introduce the notions of orbit and refinement expansivity on topological spaces extending expansivity in the compact metric setting. Examples are given on non-Hausdorff c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9101112b652100e246723b1b94075e0
http://arxiv.org/abs/1509.05018
http://arxiv.org/abs/1509.05018
Autor:
Mauricio Achigar
Publikováno v:
Ann. Funct. Anal. 6, no. 2 (2015), 26-32
We prove equality between the Topological Stable Rank and the Bass Stable Rank for finitely generated projective left modules over a unital $C^{\ast}$-algebra. In order to do so, the concept of Stable Rank of a Hilbert module is introduced.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05a9f09ead5eddb26addfd2b6ba7f12f
http://projecteuclid.org/euclid.afa/1418997763
http://projecteuclid.org/euclid.afa/1418997763
Autor:
Beatriz Abadie, Mauricio Achigar
Publikováno v:
Rocky Mountain J. Math. 39, no. 4 (2009), 1051-1081
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*-algebra of X. This construction enables us to establish a condition for tw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95adda0a6451489e4ae8dd7870272cde
https://doi.org/10.1216/rmj-2009-39-4-1051
https://doi.org/10.1216/rmj-2009-39-4-1051