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 EMS Press

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.
DOI : 10.4171/dm/438
Classification : 43A07, 46L35, 46L55
Mots-clés : supramenable groups, actions on locally compact spaces, purely infinite C\^\*-algebras and actions 
Julian Kellerhals; Nicolas Monod; Mikael Rørdam. Non-supramenable groups acting on locally compact spaces. Documenta mathematica, Tome 18 (2013), pp. 1597-1626. doi: 10.4171/dm/438
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     title = {Non-supramenable groups acting on locally compact spaces},
     journal = {Documenta mathematica},
     pages = {1597--1626},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/438},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/438/}
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