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Abstract
We construct an action of the Thompson group F on a compact space built from pairs of infinite, binary rooted trees. The action arises as an Fequivariant compactification of the action of F by translations on one of its homogeneous spaces, F/H_2, corresponding to a certain subgroup H_2 of F. The representation of F on the Hilbert space l^2(F/H_2) is faithful on the complex group algebra C[F].
Original language  English 

Journal  Bulletin of the Belgian Mathematical Society  Simon Stevin 
Volume  29 
Issue number  3 
Pages (fromto)  359370 
ISSN  13701444 
DOIs  
Publication status  Published  Dec 2022 
Keywords
 Thompson's group F
 infinite trees
 equivariant compactification
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 1 Active

Independent Research Fund Denmark  Automorphisms and Invariants of Operator Algebras
Kyed, D., Szymanski, W., Kaad, J., Eilers, S., Törnquist, A., Nest, R., Thomsen, K. & Thorbjørnsen, S.
01/09/2017 → 01/09/2024
Project: Research Councils