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An uncountable Moore-Schmidt theorem

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dc.contributor.coauthorTao, Terence
dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorJamneshan, Asgar
dc.contributor.kuprofileFaculty Member
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokid332404
dc.date.accessioned2024-11-09T12:14:33Z
dc.date.issued2022
dc.description.abstractWe prove an extension of the Moore-Schmidt theorem on the triviality of the first cohomology class of cocycles for the action of an arbitrary discrete group on an arbitrary measure space and for cocycles with values in an arbitrary compact Hausdorff abelian group. The proof relies on a 'conditional' Pontryagin duality for spaces of abstract measurable maps.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.issue7
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipA.J. was supported by DFG-research fellowship JA 2512/3-1. T.T. was supported by a Simons Investigator grant, the James and Carol Collins Chair, the Mathematical Analysis & Application Research Fund Endowment, and by NSF grant DMS-1764034.
dc.description.versionPublisher version
dc.description.volume43
dc.formatpdf
dc.identifier.doi10.1017/etds.2022.36
dc.identifier.eissn1469-4417
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR03860
dc.identifier.issn0143-3857
dc.identifier.linkhttps://doi.org/10.1017/etds.2022.36
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-85162137036
dc.identifier.urihttps://hdl.handle.net/20.500.14288/1297
dc.identifier.wos793590700001
dc.keywordsMeasurable cocycles
dc.keywordsMeasure preserving systems
dc.keywordsErgodic theory
dc.languageEnglish
dc.publisherCambridge University Press (CUP)
dc.relation.grantnoNA
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/10726
dc.sourceErgodic Theory and Dynamical Systems
dc.subjectMathematics
dc.titleAn uncountable Moore-Schmidt theorem
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-1450-6569
local.contributor.kuauthorJamneshan, Asgar
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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