Non-supramenable groups acting on locally compact spaces

Abstract

Supramenability of groups is characterised in terms of invariant measures on locally compact spaces. This opens the door to constructing interesting crossed product C*-algebras for non-supramenable groups. In particular, stable Kirchberg algebras in the UCT class are constructed using crossed products for both amenable and non-amenable groups.

Minor changes; to appear in Doc. Math

References in corpus (2)

• The ideal structure of reduced crossed products
• A characterization of amenability of group actions on $C^{\ast }$-algebras