Almost Representations and Asymptotic Representations of Discrete Groups

Details Almost Representations and Asymptotic Representations of Discrete Groups Almost Representations and Asymptotic Representations of Discrete Groups

1998-03-30

arxiv.org/abs/math/9803148v1

Mathematics

Operator Algebras

9 pages, LaTeX 2.09

Scientific paper

We define for discrete finitely presented groups a new property related to their asymptotic representations. Namely we say that a groups has the property AGA if every almost representation generates an asymptotic representation. We give examples of groups with and without this property. For our example of a group $G$ without AGA the group $K^0(BG)$ cannot be covered by asymptotic representations of $G$.

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