{"id":"https://openalex.org/W7220946428","doi":"https://doi.org/10.48550/arxiv.2610.08032","title":"A noncommutative transfer principle","display_name":"A noncommutative transfer principle","publication_year":2026,"publication_date":"2026-10-06","ids":{"openalex":"https://openalex.org/W7220946428","doi":"https://doi.org/10.48550/arxiv.2610.08032"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.08032","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08032","pdf_url":"https://arxiv.org/pdf/2610.08032","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.08032","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008129827","display_name":"Louis E. Labuschagne","orcid":"https://orcid.org/0000-0002-0309-4765","observed_orcids":["https://orcid.org/0000-0002-0309-4765"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Labuschagne, Louis E","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010388942","display_name":"Claud Steyn","orcid":"https://orcid.org/0000-0002-6090-3362","observed_orcids":["https://orcid.org/0000-0002-6090-3362"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Steyn, Claud","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.004800000227987766,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semifinite-von-neumann-algebras","display_name":"semifinite von Neumann algebras","score":0.9409999847412109},{"id":"https://openalex.org/keywords/ergodic-convergence","display_name":"ergodic convergence","score":0.9549999833106995},{"id":"https://openalex.org/keywords/decreasing-rearrangement","display_name":"decreasing rearrangement","score":0.7519999742507935},{"id":"https://openalex.org/keywords/maximal-functions","display_name":"maximal operators","score":0.9259999990463257},{"id":"https://openalex.org/keywords/regular-operators","display_name":"regular operators","score":0.6010000109672546},{"id":"https://openalex.org/keywords/locally-compact-groups","display_name":"locally compact groups","score":0.5090000033378601},{"id":"https://openalex.org/keywords/group-actions-on-operator-algebras","display_name":"group actions on operator algebras","score":0.6510000228881836}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.8978999853134155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7888000011444092},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.5981000065803528},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5235000252723694},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.520799994468689},{"id":"https://openalex.org/C2776175482","wikidata":"https://www.wikidata.org/wiki/Q1195816","display_name":"Transfer (computing)","level":2,"score":0.5034999847412109},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.49810001254081726},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.4779999852180481},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.4706000089645386},{"id":"https://openalex.org/C130133044","wikidata":"https://www.wikidata.org/wiki/Q1887083","display_name":"Compact group","level":3,"score":0.43050000071525574},{"id":"https://openalex.org/C153408630","wikidata":"https://www.wikidata.org/wiki/Q1970172","display_name":"Von Neumann algebra","level":3,"score":0.42890000343322754},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4287000000476837},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42260000109672546},{"id":"https://openalex.org/C131229623","wikidata":"https://www.wikidata.org/wiki/Q977297","display_name":"Trace class","level":3,"score":0.41130000352859497},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.4090000092983246},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.4059999883174896},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3968999981880188},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.38440001010894775},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.382999986410141},{"id":"https://openalex.org/C27142425","wikidata":"https://www.wikidata.org/wiki/Q1139334","display_name":"Almost everywhere","level":2,"score":0.357699990272522},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.34880000352859497},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.3481000065803528},{"id":"https://openalex.org/C205107259","wikidata":"https://www.wikidata.org/wiki/Q1474584","display_name":"Functional calculus","level":2,"score":0.3472000062465668},{"id":"https://openalex.org/C151424130","wikidata":"https://www.wikidata.org/wiki/Q17123911","display_name":"Stationary ergodic process","level":4,"score":0.3467000126838684},{"id":"https://openalex.org/C138081561","wikidata":"https://www.wikidata.org/wiki/Q4688920","display_name":"Affiliated operator","level":5,"score":0.34619998931884766},{"id":"https://openalex.org/C193645952","wikidata":"https://www.wikidata.org/wiki/Q7049219","display_name":"Noncommutative algebraic geometry","level":4,"score":0.3285999894142151},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3149000108242035},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3100000023841858},{"id":"https://openalex.org/C144133476","wikidata":"https://www.wikidata.org/wiki/Q4666687","display_name":"Abelian von Neumann algebra","level":5,"score":0.30149999260902405},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C58450382","wikidata":"https://www.wikidata.org/wiki/Q2147620","display_name":"Locally compact group","level":3,"score":0.2782999873161316},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2644999921321869},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2606000006198883},{"id":"https://openalex.org/C22649536","wikidata":"https://www.wikidata.org/wiki/Q96396744","display_name":"Nuclear operator","level":4,"score":0.258899986743927},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2522999942302704},{"id":"https://openalex.org/C55648075","wikidata":"https://www.wikidata.org/wiki/Q263809","display_name":"C*-algebra","level":5,"score":0.2517000138759613},{"id":"https://openalex.org/C29384965","wikidata":"https://www.wikidata.org/wiki/Q7049223","display_name":"Noncommutative quantum field theory","level":3,"score":0.25130000710487366},{"id":"https://openalex.org/C131715654","wikidata":"https://www.wikidata.org/wiki/Q288465","display_name":"Group action","level":3,"score":0.25099998712539673}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.08032","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08032","pdf_url":"https://arxiv.org/pdf/2610.08032","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.08032","doi":"https://doi.org/10.48550/arxiv.2610.08032","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.08032","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.08032","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08032","pdf_url":"https://arxiv.org/pdf/2610.08032","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220946428.pdf","grobid_xml":"https://content.openalex.org/works/W7220946428.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2360702547","https://openalex.org/W4416242247","https://openalex.org/W1672106319","https://openalex.org/W2951231559","https://openalex.org/W2616467732","https://openalex.org/W4383174346","https://openalex.org/W1968546594","https://openalex.org/W4392282230","https://openalex.org/W4416051233","https://openalex.org/W2889713137"],"abstract_inverted_index":{"We":[0,89],"extend":[1],"the":[2,12,34,48,57,93,96,100,108,127,148,158,166,175,178],"generalised":[3],"Calderon":[4],"Transfer":[5],"Principle":[6],"as":[7],"presented":[8,162],"in":[9,47,56,99,163],"\\cite{dBL}":[10,164],"to":[11,54,147,156,165],"setting":[13],"of":[14,19,38,44,62,84,95,110,118,143,177],"trace":[15],"preserving":[16],"group":[17,49,64,78],"actions":[18,79],"$\u03c3$-compact":[20],"locally":[21],"compact":[22],"Hausdorff":[23],"groups":[24],"on":[25,80],"semifinite":[26,85],"von":[27,86],"Neumann":[28,87],"algebras":[29],"$\\M$.":[30],"At":[31],"its":[32],"essence":[33],"transfer":[35],"principle":[36],"consists":[37],"showing":[39],"that":[40],"a":[41,70,116,135,141],"large":[42],"class":[43],"regular":[45],"operators":[46,55,145],"context":[50,59],"may":[51,120],"be":[52,121],"translated":[53],"algebra":[58,128],"by":[60],"means":[61],"this":[63],"action.":[65],"The":[66],"end":[67],"result":[68],"is":[69,134],"protocol":[71],"for":[72,77,107,126],"proving":[73,92,112],"ergodic":[74,159],"convergence":[75,113,160],"results":[76,161],"noncommutative":[81,101,167],"Orlicz":[82],"space":[83],"algebras.":[88],"start":[90],"with":[91],"existence":[94],"transferred":[97],"operator":[98],"context.":[102,150],"Two":[103],"tools":[104,152,179],"are":[105,153],"developed":[106],"purpose":[109],"actually":[111],"results:":[114],"(1)":[115],"theory":[117],"what":[119],"called":[122],"2-variable":[123],"decreasing":[124],"rearrangements":[125],"$L^\\infty":[129],"\\overline{\\otimes}":[130],"\\M$":[131],"(where":[132],"($\u0393,\u03bd$)":[133],"Radon":[136],"measure":[137],"space)":[138],"and":[139],"(2)":[140],"concepts":[142],"maximal":[144],"suited":[146],"present":[149,172],"These":[151],"then":[154],"used":[155],"lift":[157],"setting.":[168],"In":[169],"closing":[170],"we":[171],"examples":[173],"illustrating":[174],"application":[176]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-09T00:00:00"}