Conjugacy of local homeomorphisms via groupoids and C*-algebras

Autor:	Armstrong, Becky, Brix, Kevin Aguyar, Carlsen, Toke Meier, Eilers, Søren
Rok vydání:	2021
Předmět:	Mathematics - Operator Algebras Mathematics - Dynamical Systems 37A55 (primary) 37B10 46L55 (secondary)
Zdroj:	Ergodic Theory Dynam. Systems 43 (2023), 2516--2537
Druh dokumentu:	Working Paper
DOI:	10.1017/etds.2022.50
Popis:	We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially defined local homeomorphism. Important examples of such systems include self-covering maps, one-sided shifts of finite type and, more generally, the boundary-path spaces of directed and topological graphs. We characterise topological conjugacy of these systems in terms of isomorphisms of their associated groupoids and C*-algebras. This significantly generalises recent work of Matsumoto and of the second- and third-named authors. Comment: 19 pages. This version matches the version in Ergodic Theory and Dynamical Systems
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.00479 Zobrazit plný text záznamu View this record from Arxiv