The action of the Thompson group F on infinite trees
| Autor: | Hong, Jeong Hee, Szymanski, Wojciech |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 F-equivariant 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]. Comment: Accepted to the Bulletin of the Belgian Mathematical Society |
| Databáze: | arXiv |
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