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

• Autorzy: B. Majcher-Iwanow
• Języki publikacji: EN

Abstrakty

EN

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 TH(B(T)) = ⟨Iso(T),V⟩ generated by the group 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).

Kategorie tematyczne

• 20E08: Groups acting on trees
• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 103
• Numer: 2
• Strony: 287-301

Daty

wydano

2005

Twórcy

autor

B. Majcher-Iwanow

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm103-2-12