Almost automorphisms of trees and completions of Thompson's V

Vortrag von Waltraud Lederle

Datum: 07.11.18  Zeit: 15.45 - 16.45  Raum: ETH HG G 43

Thompson's V was one of the first examples of a finitely presented, infinite, simple group. It can be seen in a natural way as a group of almost automorphisms of the binary tree, and thus embeds densely into a nice locally compact group. Using that V can also be written as topological full group of a one-sided shift in the sense of Matui, we construct infinitely many more completions of V, answering a question of Le Boudec and Wesolek.