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Conjugacy and dynamics in almost automorphism groups of trees

    https://doi.org/10.1142/S0218196721500557Cited by:0 (Source: Crossref)

    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.

    Communicated by A. Olshanskii

    AMSC: 20E45, 20E08, 20E32, 22D05, 37E25