Geodesic
Equivalence relations induced by some locally compact groups of homeomorphisms of $2^{\mathbb {N}}$
B. Majcher-Iwanow1
1 Institute of Mathematics Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 287-301

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $B(T)$.
DOI : 10.4064/cm103-2-12
Keywords: locally finite rooted tree boundary space nbsp study locally compact subgroups group langle iso rangle generated group iso isometries group richard thompson describe orbit equivalence relations arising actions these groups

B. Majcher-Iwanow 1

1 Institute of Mathematics Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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B. Majcher-Iwanow. Equivalence relations induced by some locally 
compact groups of homeomorphisms of $2^{\mathbb {N}}$. Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 287-301. doi: 10.4064/cm103-2-12

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