Geodesic
Non-supramenable groups acting on locally compact spaces
Documenta mathematica, Tome 18 (2013), pp. 1597-1626.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 43A07, 46L55, 46L35
Keywords: supramenable groups, actions on locally compact spaces, purely infinite C^*-algebras and actions 
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     title = {Non-supramenable groups acting on locally compact spaces},
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Kellerhals, Julian; Monod, Nicolas; Rørdam, Mikael. Non-supramenable groups acting on locally compact spaces. Documenta mathematica, Tome 18 (2013), pp. 1597-1626. http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a0/