Conjugacy of local homeomorphisms via groupoids and C*-algebras
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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 characterize the topological conjugacy of these systems in terms of isomorphisms of their associated groupoids and C*-algebras. This significantly generalizes recent work of Matsumoto and of the second- and third-named authors.
Originalsprog | Engelsk |
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Tidsskrift | Ergodic Theory and Dynamical Systems |
Vol/bind | 43 |
Udgave nummer | 8 |
Sider (fra-til) | 2516–2537 |
Antal sider | 22 |
ISSN | 0143-3857 |
DOI | |
Status | Udgivet - 2023 |
ID: 343215111