Asymptotic representations of the reduced C*-algebra of a free group: an example

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144683We give an example of a non-trivial asymptotic representation of the reduced C*-algebra of a free group. This example allows to evaluate the asymptotic tensor C*-norm of some elements in tensor product C*-algebras and to show semi-invertibility of the non-invertible extension of $C^*_r(\mathbb F_2)$ considered by Haagerup and Thorbjornsen.6 pagesOperator AlgebrasGroup Theory46L05Asymptotic representations of the reduced C*-algebra of a free group: an exampletext