Kellerhals, Julian; Monod, Nicolas; Rørdam, Mikael
Non-supramenable groups acting on locally compact spaces
Doc. Math., J. DMV 18, 1597-1626 (2013)
Summary: 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.
Mathematics Subject Classification
43A07, 46L55, 46L35
supramenable groups, actions on locally compact spaces, purely infinite C^*-algebras and actions