Finite factor representations of Higman-Thompson groups.

DOI10.4171/GGD/230zbMath1328.20012arXiv1212.1230OpenAlexW2962988429MaRDI QIDQ399415

Artem Dudko, Konstantin Medynets

Publication date: 19 August 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1230

zbMATH Keywords

Higman-Thompson groupsfactor representationsessentially free actions

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Dynamical aspects of measure-preserving transformations (37A05) Positive definite functions on groups, semigroups, etc. (43A35) Measurable group actions (22F10)

Related Items (18)

Character rigidity for special linear groups. ⋮ Jones Representations of Thompson’s GroupFArising from Temperley–Lieb–Jones Algebras ⋮ Ergodic theorems for coset spaces ⋮ On the \(3\)-colorable subgroup \(\mathcal{F}\) and maximal subgroups of Thompson's group \(F\) ⋮ Faithful invariant random subgroups in acylindrically hyperbolic groups ⋮ Amenable wreath products with non almost finite actions of mean dimension zero ⋮ Characters of algebraic groups over number fields ⋮ Characters of the group \(\mathrm{EL}_d (\mathcal{R})\) for a commutative Noetherian ring \(\mathcal{R}\) ⋮ Character rigidity of simple algebraic groups ⋮ On diagonal actions of branch groups and the corresponding characters ⋮ Stabilizers of actions of lattices in products of groups ⋮ Invariant random subgroups of lamplighter groups ⋮ Stationary characters on lattices of semisimple Lie groups ⋮ Characters, \(L^2\)-Betti numbers and an equivariant approximation theorem ⋮ Non-inner amenability of the Thompson groups \(T\) and \(V\) ⋮ Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms ⋮ Pythagorean representations of Thompson's groups ⋮ Characteristic random subgroups of geometric groups and free abelian groups of infinite rank

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