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Equivalence relations induced by some locally compact groups of homeomorphisms of $2^{\mathbb {N}}$

Tom 103 / 2005

B. Majcher-Iwanow Colloquium Mathematicum 103 (2005), 287-301 MSC: 03E15, 20E08. DOI: 10.4064/cm103-2-12

Streszczenie

Let $T$ be a locally finite rooted tree and $B(T)$ be the boundary space of $T$. We study locally compact subgroups of the group ${\rm TH}(B(T))=\langle {\rm Iso}(T),V\rangle$ generated by the group ${\rm Iso}(T)$ of all isometries of $B(T)$ and the group $V$ of Richard Thompson. We describe orbit equivalence relations arising from actions of these groups on $B(T)$.

Autorzy

  • B. Majcher-IwanowInstitute of Mathematics
    Wrocław University
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail

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