{"id":"https://openalex.org/W2291247422","doi":"https://doi.org/10.1090/proc/13439","title":"The cycline subalgebra of a Kumjian-Pask algebra","display_name":"The cycline subalgebra of a Kumjian-Pask algebra","publication_year":2016,"publication_date":"2016-09-28","ids":{"openalex":"https://openalex.org/W2291247422","doi":"https://doi.org/10.1090/proc/13439","mag":"2291247422"},"language":"en","primary_location":{"id":"doi:10.1090/proc/13439","doi":"https://doi.org/10.1090/proc/13439","is_oa":true,"landing_page_url":"https://doi.org/10.1090/proc/13439","pdf_url":"https://www.ams.org/proc/2017-145-05/S0002-9939-2016-13439-4/S0002-9939-2016-13439-4.pdf","source":{"id":"https://openalex.org/S4210226894","display_name":"Proceedings of the American Mathematical Society","issn_l":"0002-9939","issn":["0002-9939","1088-6826"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the American Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/proc/2017-145-05/S0002-9939-2016-13439-4/S0002-9939-2016-13439-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017707311","display_name":"Lisa Orloff Clark","orcid":"https://orcid.org/0000-0002-0288-5178","observed_orcids":["https://orcid.org/0000-0002-0288-5178"]},"institutions":[{"id":"https://openalex.org/I80281795","display_name":"University of Otago","ror":"https://ror.org/01jmxt844","country_code":"NZ","type":"education","lineage":["https://openalex.org/I80281795"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Lisa Orloff Clark","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand","institution_ids":["https://openalex.org/I80281795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024963579","display_name":"Crist\u00f3bal Gil Canto","orcid":"https://orcid.org/0000-0002-4975-1935","observed_orcids":["https://orcid.org/0000-0002-4975-1935"]},"institutions":[{"id":"https://openalex.org/I80281795","display_name":"University of Otago","ror":"https://ror.org/01jmxt844","country_code":"NZ","type":"education","lineage":["https://openalex.org/I80281795"]},{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES","NZ"],"is_corresponding":false,"raw_author_name":"Crist\u00f3bal Gil Canto","raw_affiliation_strings":["Department of Mathematics and Statistics , University of Otago , P.O. Box 56 , Dunedin 9054 , New Zealand","Departamento de Algebra, Geometria y Topologia, Universidad de Malaga, 29071 Malaga, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Otago , P.O. Box 56 , Dunedin 9054 , New Zealand","institution_ids":["https://openalex.org/I80281795"]},{"raw_affiliation_string":"Departamento de Algebra, Geometria y Topologia, Universidad de Malaga, 29071 Malaga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028215517","display_name":"Alireza Nasr\u2010Isfahani","orcid":"https://orcid.org/0000-0003-2398-5722","observed_orcids":["https://orcid.org/0000-0003-2398-5722"]},"institutions":[{"id":"https://openalex.org/I39268498","display_name":"University of Isfahan","ror":"https://ror.org/05h9t7759","country_code":"IR","type":"education","lineage":["https://openalex.org/I39268498"]},{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Alireza Nasr-Isfahani","raw_affiliation_strings":["Department of Mathematics, University of Isfahan, P.O. Box 81746-73441, Isfahan, Iran \u2013 and \u2013 School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Isfahan, P.O. Box 81746-73441, Isfahan, Iran \u2013 and \u2013 School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran","institution_ids":["https://openalex.org/I39268498","https://openalex.org/I4210146419"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5671,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79417852,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"145","issue":"5","first_page":"1969","last_page":"1980"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.989300012588501,"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":0.989300012588501,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.0024999999441206455,"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"}},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/higher-rank-graphs","display_name":"higher-rank graphs","score":0.9150000214576721},{"id":"https://openalex.org/keywords/maximal-commutative-subalgebras","display_name":"maximal commutative subalgebras","score":0.9760000109672546},{"id":"https://openalex.org/keywords/cuntz-krieger-uniqueness-theorem","display_name":"Cuntz-Krieger uniqueness theorem","score":0.9800000190734863},{"id":"https://openalex.org/keywords/representations-of-c-algebras","display_name":"representations of C*-algebras","score":0.843999981880188},{"id":"https://openalex.org/keywords/row-finite-graphs","display_name":"row-finite graphs","score":0.8600000143051147}],"concepts":[{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.9038931727409363},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.8906149864196777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6051395535469055},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5965458154678345},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.593574047088623},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5732774138450623},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5304198861122131},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.49962854385375977},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4567706286907196},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.379766047000885},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3709401488304138},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20306968688964844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05734047293663025},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.045444488525390625}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1090/proc/13439","doi":"https://doi.org/10.1090/proc/13439","is_oa":true,"landing_page_url":"https://doi.org/10.1090/proc/13439","pdf_url":"https://www.ams.org/proc/2017-145-05/S0002-9939-2016-13439-4/S0002-9939-2016-13439-4.pdf","source":{"id":"https://openalex.org/S4210226894","display_name":"Proceedings of the American Mathematical Society","issn_l":"0002-9939","issn":["0002-9939","1088-6826"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the American Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1603.00508","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.00508","pdf_url":"https://arxiv.org/pdf/1603.00508","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":"mag:2291247422","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1603.00508v1","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:riuma.uma.es:10630/30560","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/10630/30560","pdf_url":null,"source":{"id":"https://openalex.org/S4306401385","display_name":"Repositorio Institucional de la Universidad de M\u00e1laga (University of M\u00e1laga)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I82767444","host_organization_name":"Universidad de M\u00e1laga","host_organization_lineage":["https://openalex.org/I82767444"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"doi:10.48550/arxiv.1603.00508","doi":"https://doi.org/10.48550/arxiv.1603.00508","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1603.00508","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":"article-journal"}],"best_oa_location":{"id":"doi:10.1090/proc/13439","doi":"https://doi.org/10.1090/proc/13439","is_oa":true,"landing_page_url":"https://doi.org/10.1090/proc/13439","pdf_url":"https://www.ams.org/proc/2017-145-05/S0002-9939-2016-13439-4/S0002-9939-2016-13439-4.pdf","source":{"id":"https://openalex.org/S4210226894","display_name":"Proceedings of the American Mathematical Society","issn_l":"0002-9939","issn":["0002-9939","1088-6826"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the American Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1568951500","display_name":null,"funder_award_id":"FQM-7156","funder_id":"https://openalex.org/F4320326754","funder_display_name":"Junta de Andaluc\u00eda"},{"id":"https://openalex.org/G5483324142","display_name":null,"funder_award_id":"15-UOO-071","funder_id":"https://openalex.org/F4320320774","funder_display_name":"Royal Society Te Ap\u0101rangi"},{"id":"https://openalex.org/G5992390826","display_name":null,"funder_award_id":"Marsden grant 15-UOO-071","funder_id":"https://openalex.org/F4320320774","funder_display_name":"Royal Society Te Ap\u0101rangi"},{"id":"https://openalex.org/G7515888504","display_name":null,"funder_award_id":"94170419","funder_id":"https://openalex.org/F4320320774","funder_display_name":"Royal Society Te Ap\u0101rangi"},{"id":"https://openalex.org/G8503290717","display_name":null,"funder_award_id":"94170419","funder_id":"https://openalex.org/F4320323645","funder_display_name":"Institute for Research in Fundamental Sciences"}],"funders":[{"id":"https://openalex.org/F4320310371","display_name":"University of Otago","ror":"https://ror.org/01jmxt844"},{"id":"https://openalex.org/F4320311265","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28"},{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320320774","display_name":"Royal Society Te Ap\u0101rangi","ror":"https://ror.org/04tajb587"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323645","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31"},{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2291247422.pdf","grobid_xml":"https://content.openalex.org/works/W2291247422.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1655562480","https://openalex.org/W1985114152","https://openalex.org/W2032437457","https://openalex.org/W2061293710","https://openalex.org/W2068504889","https://openalex.org/W2100943313","https://openalex.org/W2127954316","https://openalex.org/W2157417386","https://openalex.org/W2158590469","https://openalex.org/W2169485138","https://openalex.org/W2208139987","https://openalex.org/W2292906888","https://openalex.org/W2963678089"],"related_works":["https://openalex.org/W2068504889","https://openalex.org/W2208139987","https://openalex.org/W2140732549","https://openalex.org/W2513064502","https://openalex.org/W2292906888","https://openalex.org/W2582894046","https://openalex.org/W2158590469","https://openalex.org/W2127954316","https://openalex.org/W2332118088","https://openalex.org/W2803550700"],"abstract_inverted_index":{"Let":[0],"$\\Lambda$":[1],"be":[2],"a":[3,12,28,39],"row-finite":[4],"higher-rank":[5],"graph":[6],"with":[7],"no":[8],"sources.":[9],"We":[10,25],"identify":[11],"maximal":[13],"commutative":[14],"subalgebra":[15],"$\\mathcal":[16,55],"{M}$":[17],"inside":[18],"the":[19],"Kumjian-Pask":[20,34],"algebra":[21],"$\\mathrm":[22,42],"{KP}_R(\\Lambda":[23,43],")$.":[24],"also":[26],"prove":[27],"generalized":[29],"Cuntz-Krieger":[30],"uniqueness":[31],"theorem":[32],"for":[33],"algebras":[35],"which":[36],"says":[37],"that":[38],"representation":[40],"of":[41],")$":[44],"is":[45,52],"injective":[46,53],"if":[47,50],"and":[48],"only":[49],"it":[51],"on":[54],"{M}$.":[56]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}
