Projects per year
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
 Thompson’s group F
Fingerprint
Dive into the research topics of 'The action of the Thompson group F on infinite trees'. Together they form a unique fingerprint.Related projects
 1 Active

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