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

V. Manuilov

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

Operator Algebras 2007-12-21 v1 Group Theory

Authors: V. Manuilov

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 $C^*_r(\mathbb F_2)$ considered by Haagerup and Thorbjornsen.

Keywords

asymptotic representation reduced C*-algebra free group tensor C*-norm semi-invertibility extension

Cite

@article{arxiv.0712.3564,
  title  = {Asymptotic representations of the reduced C*-algebra of a free group: an example},
  author = {V. Manuilov},
  journal= {arXiv preprint arXiv:0712.3564},
  year   = {2007}
}

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6 pages

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