{"id":"https://openalex.org/W1977972728","doi":"https://doi.org/10.1090/s0002-9947-1972-0312282-2","title":"Inductive limits of finite dimensional \ud835\udc36*-algebras","display_name":"Inductive limits of finite dimensional \ud835\udc36*-algebras","publication_year":1972,"publication_date":"1972-01-01","ids":{"openalex":"https://openalex.org/W1977972728","doi":"https://doi.org/10.1090/s0002-9947-1972-0312282-2","mag":"1977972728"},"language":"en","primary_location":{"id":"doi:10.1090/s0002-9947-1972-0312282-2","doi":"https://doi.org/10.1090/s0002-9947-1972-0312282-2","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0002-9947-1972-0312282-2","pdf_url":"https://www.ams.org/tran/1972-171-00/S0002-9947-1972-0312282-2/S0002-9947-1972-0312282-2.pdf","source":{"id":"https://openalex.org/S60030702","display_name":"Transactions of the American Mathematical Society","issn_l":"0002-9947","issn":["0002-9947","1088-6850"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":"Transactions of the American Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/tran/1972-171-00/S0002-9947-1972-0312282-2/S0002-9947-1972-0312282-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016318030","display_name":"Ola Bratteli","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ola Bratteli","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5016318030"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8852,"has_fulltext":true,"cited_by_count":447,"citation_normalized_percentile":{"value":0.84239605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"171","issue":"0","first_page":"195","last_page":"234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9994999766349792,"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":0.9994999766349792,"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":9.999999747378752e-05,"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/T11545","display_name":"Advanced Banach Space Theory","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inductive-limits","display_name":"inductive limits","score":0.9819999933242798},{"id":"https://openalex.org/keywords/finite-dimensional-c-algebras","display_name":"finite-dimensional C*-algebras","score":0.9940000176429749},{"id":"https://openalex.org/keywords/isomorphism-of-c-algebras","display_name":"isomorphism of C*-algebras","score":0.8949999809265137},{"id":"https://openalex.org/keywords/uhf-algebras","display_name":"UHF algebras","score":0.9599999785423279},{"id":"https://openalex.org/keywords/representations-of-c-algebras","display_name":"representations of C*-algebras","score":0.8709999918937683},{"id":"https://openalex.org/keywords/canonical-anticommutation-relations","display_name":"canonical anticommutation relations","score":0.9340000152587891},{"id":"https://openalex.org/keywords/current-algebra","display_name":"current algebra","score":0.9829999804496765}],"concepts":[{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.7381271123886108},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5508142709732056},{"id":"https://openalex.org/C2776321320","wikidata":"https://www.wikidata.org/wiki/Q857525","display_name":"Annotation","level":2,"score":0.5375738739967346},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4588208496570587},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43784886598587036},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40522414445877075},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3876955509185791},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3589337170124054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25265246629714966},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14115256071090698},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.13593968749046326},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.12899479269981384},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/s0002-9947-1972-0312282-2","doi":"https://doi.org/10.1090/s0002-9947-1972-0312282-2","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0002-9947-1972-0312282-2","pdf_url":"https://www.ams.org/tran/1972-171-00/S0002-9947-1972-0312282-2/S0002-9947-1972-0312282-2.pdf","source":{"id":"https://openalex.org/S60030702","display_name":"Transactions of the American Mathematical Society","issn_l":"0002-9947","issn":["0002-9947","1088-6850"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":"Transactions of the American Mathematical Society","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1090/s0002-9947-1972-0312282-2","doi":"https://doi.org/10.1090/s0002-9947-1972-0312282-2","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0002-9947-1972-0312282-2","pdf_url":"https://www.ams.org/tran/1972-171-00/S0002-9947-1972-0312282-2/S0002-9947-1972-0312282-2.pdf","source":{"id":"https://openalex.org/S60030702","display_name":"Transactions of the American Mathematical Society","issn_l":"0002-9947","issn":["0002-9947","1088-6850"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":"Transactions of the American Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1977972728.pdf","grobid_xml":"https://content.openalex.org/works/W1977972728.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1540559722","https://openalex.org/W1963892463","https://openalex.org/W1987484491","https://openalex.org/W1994275197","https://openalex.org/W2023004738","https://openalex.org/W2032220545","https://openalex.org/W2037630779","https://openalex.org/W2045784317","https://openalex.org/W2053005718","https://openalex.org/W2073865168","https://openalex.org/W2073990535","https://openalex.org/W2315973239","https://openalex.org/W2504215107","https://openalex.org/W3038830718","https://openalex.org/W3040500874","https://openalex.org/W3147034027"],"related_works":["https://openalex.org/W2361861616","https://openalex.org/W2263699433","https://openalex.org/W2377979023","https://openalex.org/W2218034408","https://openalex.org/W2392921965","https://openalex.org/W2358755282","https://openalex.org/W2625833328","https://openalex.org/W1533177136","https://openalex.org/W4380994516","https://openalex.org/W4387158300"],"abstract_inverted_index":{"Inductive":[0],"limits":[1],"of":[2,5,18,31,39,46,55,59],"ascending":[3],"sequences":[4],"finite":[6],"dimensional":[7],"C":[8],"\u2217":[9],"{C^":[10],"\\ast":[11],"}":[12],"-algebras":[13],"are":[14,21,48],"studied.":[15],"The":[16,37],"ideals":[17],"such":[19,33],"algebras":[20,34],"classified,":[22],"and":[23,26,44],"a":[24],"necessary":[25],"sufficient":[27],"condition":[28],"for":[29],"isomorphism":[30],"two":[32],"is":[35,64],"obtained.":[36],"results":[38],"Powers":[40],"concerning":[41],"factor":[42],"states":[43],"representations":[45],"UHF-algebras":[47],"generalized":[49],"to":[50],"this":[51],"case.":[52],"A":[53],"study":[54],"the":[56,60],"current":[57],"algebra":[58],"canonical":[61],"anticommutation":[62],"relations":[63],"then":[65],"being":[66],"made.":[67]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":22},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":7}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
