{"id":"https://openalex.org/W1979369402","doi":"https://doi.org/10.1112/jlms/jdt052","title":"The Glimm space of the minimal tensor product of C*-algebras","display_name":"The Glimm space of the minimal tensor product of C*-algebras","publication_year":2013,"publication_date":"2013-09-26","ids":{"openalex":"https://openalex.org/W1979369402","doi":"https://doi.org/10.1112/jlms/jdt052","mag":"1979369402"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdt052","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdt052","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111974091","display_name":"David J. McConnell","orcid":"https://orcid.org/0000-0003-4273-0282"},"institutions":[{"id":"https://openalex.org/I205274468","display_name":"Trinity College Dublin","ror":"https://ror.org/02tyrky19","country_code":"IE","type":"education","lineage":["https://openalex.org/I205274468"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"David McConnell","raw_affiliation_strings":["School of Mathematics, Trinity College, Dublin 2, Ireland","School of MathematicsTrinity CollegeDublin 2Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Trinity College, Dublin 2, Ireland","institution_ids":["https://openalex.org/I205274468"]},{"raw_affiliation_string":"School of MathematicsTrinity CollegeDublin 2Ireland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111974091"],"corresponding_institution_ids":["https://openalex.org/I205274468"],"apc_list":{"value":3930,"currency":"USD","value_usd":3930},"apc_paid":null,"fwci":0.8031,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65316526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"89","issue":"1","first_page":"69","last_page":"96"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9984999895095825,"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":0.9984999895095825,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9973000288009644,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/surjective-function","display_name":"Surjective function","score":0.8310999870300293},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.803307056427002},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.7013548016548157},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.685451865196228},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.556006669998169},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5433209538459778},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4217420816421509},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41087332367897034},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36908677220344543},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30628424882888794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.062355101108551025},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06023707985877991}],"concepts":[{"id":"https://openalex.org/C119238805","wikidata":"https://www.wikidata.org/wiki/Q229102","display_name":"Surjective function","level":2,"score":0.8310999870300293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.803307056427002},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.7013548016548157},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.685451865196228},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.556006669998169},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5433209538459778},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4217420816421509},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41087332367897034},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36908677220344543},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30628424882888794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.062355101108551025},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06023707985877991},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1112/jlms/jdt052","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdt052","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.752.3570","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.752.3570","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1212.3971.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7099999785423279,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4287020903","https://openalex.org/W2952259524","https://openalex.org/W2279732055","https://openalex.org/W4291694489","https://openalex.org/W2950396429","https://openalex.org/W2780417798","https://openalex.org/W2501456845","https://openalex.org/W4232350466","https://openalex.org/W4287647346","https://openalex.org/W1991233001"],"abstract_inverted_index":{"We":[0],"show":[1,98],"that":[2,99],"for":[3,42,48,83],"C*-algebras":[4,40],"A":[5,26,41],"and":[6,34,74,77,80],"B,":[7],"there":[8],"is":[9,46],"a":[10,36,52,125],"natural":[11],"open":[12],"bijection":[13],"from":[14],"Glimm":[15,18,21,72,75,102],"(A)":[16,73],"\u00d7":[17],"(B)":[19],"to":[20,93],"(A":[22],"\u2297\u03b1":[23,27,67,91,116,118],"B)":[24,68,92],"(where":[25],"B":[28],"denotes":[29],"the":[30,44,56,60,63,84,101,110,121,131],"minimal":[31],"C*-tensor":[32],"product),":[33],"identify":[35],"large":[37],"class":[38],"of":[39,59,62,71,108,127,133],"which":[43],"map":[45,111],"continuous":[47],"arbitrary":[49],"B.":[50],"As":[51],"consequence,":[53],"we":[54,97],"determine":[55],"structure":[57],"space":[58],"centre":[61],"multiplier":[64],"algebra":[65],"ZM(A":[66,90],"in":[69],"terms":[70],"(B),":[76],"give":[78],"necessary":[79],"sufficient":[81],"conditions":[82],"inclusion":[85],"ZM(A)":[86],"\u2297":[87],"ZM(B)":[88],"\u2286":[89],"be":[94],"surjective.":[95],"Further":[96],"when":[100],"spaces":[103],"are":[104],"considered":[105],"as":[106],"sets":[107],"ideals,":[109],"(G,":[112],"H)":[113],"\u21a6":[114],"G":[115],"B+A":[117],"H":[119],"implements":[120],"above":[122],"bijection,":[123],"extending":[124],"result":[126],"Kaniuth":[128],"by":[129],"eliminating":[130],"assumption":[132],"property":[134],"(F).":[135]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
