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

Department of Mathematical Sciences

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

Original language	English
Journal	Documenta Mathematica
Volume	18
Pages (from-to)	1597-1626
ISSN	1431-0635
Publication status	Published - 2013

Cite this

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title = "Non-Supramenable Groups Acting on Locally Compact Spaces",

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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AU - Kellerhals, Julian

AU - Monod, Nicolas

AU - Rørdam, Mikael

PY - 2013

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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

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