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

2007/12/20 by Manuilov, V.
#46L05 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0712.3564

Abstract

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 F₂) considered by Haagerup and Thorbjornsen.

Related

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• On the Structure of Some Reduced Amalgamated Free Product C*-Algebras