Non-supramenable groups acting on locally compact spaces
Supramenability of groups is characterised in terms of invariant measures on locally compact spaces. This opens the door to constructing interesting crossed product -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.
Cite this article
Julian Kellerhals, Nicolas Monod, Mikael Rørdam, Non-supramenable groups acting on locally compact spaces. Doc. Math. 18 (2013), pp. 1597–1626DOI 10.4171/DM/438