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

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

2007-12-20

arxiv.org/abs/0712.3564v1

Mathematics

Operator Algebras

6 pages

Scientific paper

We 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.

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