Conjugacy and dynamics in almost automorphism groups of trees

Lederle, Waltraud;Goffer, Gil
(2021) International Journal of Algebra and Computation — Vol. 31, n° 08, p. 1497-1545 (2021)

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Authors
  • Lederle, WaltraudUCLouvain
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  • Goffer, Gil
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Abstract
We determine when two almost automorphisms of a regular tree are conjugate. This is done by combining the classification of conjugacy classes in the automorphism group of a level-homogeneous tree by Gawron, Nekrashevych and Sushchansky and the solution of the conjugacy problem in Thompson’s V by Belk and Matucci. We also analyze the dynamics of a tree almost automorphism as a homeomorphism of the boundary of the tree.
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Lederle, W., & Goffer, G. (2021). Conjugacy and dynamics in almost automorphism groups of trees. International Journal of Algebra and Computation, 31(08), 1497-1545. https://doi.org/10.1142/S0218196721500557 (Original work published 2021)