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Non-Supramenable Groups Acting on Locally Compact Spaces

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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.
OriginalsprogEngelsk
TidsskriftDocumenta Mathematica
Vol/bind18
Sider (fra-til)1597-1626
ISSN1431-0635
StatusUdgivet - 2013

ID: 117489137