Measure equivalence for non-unimodular groups

Juhani Koivisto; David Kyed; Sven  Raum

doi:10.1007/s00031-021-09640-5

Measure equivalence for non-unimodular groups

Juhani Koivisto, David Kyed^*, Sven Raum

^*Corresponding author for this work

Department of Mathematics and Computer Science

Stockholm University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We undertake a comprehensive study of measure equivalence between general locally compact, second countable groups, providing operator algebraic and ergodic theoretic reformulations, and complete the classification of amenable groups within this class up to measure equivalence.

Original language	English
Journal	Transformation Groups
Volume	26
Issue number	1
Pages (from-to)	327-346
ISSN	1083-4362
DOIs	https://doi.org/10.1007/s00031-021-09640-5
Publication status	Published - 2021

Documents & Links

10.1007/s00031-021-09640-5

https://arxiv.org/abs/1805.09063

Cite this

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title = "Measure equivalence for non-unimodular groups",

abstract = "We undertake a comprehensive study of measure equivalence between general locally compact, second countable groups, providing operator algebraic and ergodic theoretic reformulations, and complete the classification of amenable groups within this class up to measure equivalence.",

author = "Juhani Koivisto and David Kyed and Sven Raum",

year = "2021",

doi = "10.1007/s00031-021-09640-5",

language = "English",

volume = "26",

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journal = "Transformation Groups",

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AU - Koivisto, Juhani

AU - Kyed, David

AU - Raum, Sven

PY - 2021

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N2 - We undertake a comprehensive study of measure equivalence between general locally compact, second countable groups, providing operator algebraic and ergodic theoretic reformulations, and complete the classification of amenable groups within this class up to measure equivalence.

AB - We undertake a comprehensive study of measure equivalence between general locally compact, second countable groups, providing operator algebraic and ergodic theoretic reformulations, and complete the classification of amenable groups within this class up to measure equivalence.

U2 - 10.1007/s00031-021-09640-5

DO - 10.1007/s00031-021-09640-5

M3 - Journal article

SN - 1083-4362

VL - 26

SP - 327

EP - 346

JO - Transformation Groups

JF - Transformation Groups

IS - 1

ER -

Measure equivalence for non-unimodular groups

Abstract

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