Conjugacy of local homeomorphisms via groupoids and C*-algebras
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- Fulltext
Final published version, 420 KB, PDF document
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.
Original language | English |
---|---|
Journal | Ergodic Theory and Dynamical Systems |
Volume | 43 |
Issue number | 8 |
Pages (from-to) | 2516–2537 |
Number of pages | 22 |
ISSN | 0143-3857 |
DOIs | |
Publication status | Published - 2023 |
- conjugacy, local homeomorphism, Deaconu-Renault system, groupoid, C*-algebra, TOPOLOGICAL ORBIT EQUIVALENCE, GRAPH ALGEBRAS, MARKOV SHIFTS, FLOW EQUIVALENCE, DIMENSION, SUBSHIFTS
Research areas
ID: 343215111