Almost Representations and Asymptotic Representations of Discrete Groups

Abstract

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 $G$.

9 pages, LaTeX 2.09

References in corpus (1)

• The Soft Torus II: A Variational Analysis of Commutator Norms

Cited by in corpus (2)

• Stability of group relations under small Hilbert-Schmidt perturbations
• On Almost Representations of Property (T) Groups