Non-Supramenable Groups Acting on Locally Compact Spaces

Julian Kellerhals; Nicolas Monod; Mikael Rørdam

Non-Supramenable Groups Acting on Locally Compact Spaces

Julian Kellerhals, Nicolas Monod, Mikael Rørdam

Institut for Matematiske Fag

15 Citationer (Scopus)

Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Documenta Mathematica
Vol/bind	18
Sider (fra-til)	1597-1626
ISSN	1431-0635
Status	Udgivet - 2013

Citationsformater

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abstract = "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 nonsupramenable groups. In particular, stable Kirchberg algebras in the UCT class are constructed using crossed products for both amenable and non-amenable groups.",

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T1 - Non-Supramenable Groups Acting on Locally Compact Spaces

AU - Kellerhals, Julian

AU - Monod, Nicolas

AU - Rørdam, Mikael

PY - 2013

Y1 - 2013

N2 - 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 nonsupramenable groups. In particular, stable Kirchberg algebras in the UCT class are constructed using crossed products for both amenable and non-amenable groups.

AB - 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 nonsupramenable groups. In particular, stable Kirchberg algebras in the UCT class are constructed using crossed products for both amenable and non-amenable groups.

M3 - Journal article

SN - 1431-0635

VL - 18

SP - 1597

EP - 1626

JO - Documenta Mathematica

JF - Documenta Mathematica

ER -

Non-Supramenable Groups Acting on Locally Compact Spaces

Abstract

Fingeraftryk

Citationsformater