Geodesic
Non-supramenable groups acting on locally compact spaces
Documenta mathematica, Tome 18 (2013), pp. 1597-1626
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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 
@article{10_4171_dm_438,
     author = {Julian Kellerhals and Nicolas Monod and Mikael R{\o}rdam},
     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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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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