Localized cohomology and some applications of Popa's cocycle superrigidity theorem

Asger Dag Törnquist

doi:10.1007/s11856-011-0012-x

Localized cohomology and some applications of Popa's cocycle superrigidity theorem

Bidragets oversatte titel: Lokal cohomologi og nogle anvendelser af Popas cocycle superrigidity sætning

Asger Dag Törnquist

Institut for Matematiske Fag

2 Citationer (Scopus)

Abstract

We prove that orbit equivalence of measure preserving ergodic a.e. free actions of a countable group with the relative property (T) is a complete analytic equivalence relation.

Bidragets oversatte titel	Lokal cohomologi og nogle anvendelser af Popas cocycle superrigidity sætning
Originalsprog	Engelsk
Tidsskrift	Israel Journal of Mathematics
Vol/bind	181
Udgave nummer	1
Sider (fra-til)	327-346
Antal sider	20
ISSN	0021-2172
DOI	https://doi.org/10.1007/s11856-011-0012-x
Status	Udgivet - mar. 2011

Emneord

Det Natur- og Biovidenskabelige Fakultet
Ergodic theory
descriptive set theory
orbit equivalence

Adgang til dokumentet

10.1007/s11856-011-0012-x

Citationsformater

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title = "Localized cohomology and some applications of Popa's cocycle superrigidity theorem",

abstract = "We prove that orbit equivalence of measure preserving ergodic a.e. free actions of a countable group with the relative property (T) is a complete analytic equivalence relation.",

keywords = "Faculty of Science, Ergodic theory, descriptive set theory, orbit equivalence",

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AB - We prove that orbit equivalence of measure preserving ergodic a.e. free actions of a countable group with the relative property (T) is a complete analytic equivalence relation.

KW - Faculty of Science

KW - Ergodic theory

KW - descriptive set theory

KW - orbit equivalence

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M3 - Journal article

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

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