Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1524878283', 'doi': 'https://doi.org/10.1007/978-3-662-10451-4', 'title': 'Theory of Operator Algebras II', 'display_name': 'Theory of Operator Algebras II', 'publication_year': 2003, 'publication_date': '2003-01-01', 'ids': {'openalex': 'https://openalex.org/W1524878283', 'doi': 'https://doi.org/10.1007/978-3-662-10451-4', 'mag': '1524878283'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-662-10451-4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210171045', 'display_name': 'Encyclopaedia of mathematical sciences', 'issn_l': '0938-0396', 'issn': ['0938-0396', '2512-3459'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book', 'type_crossref': 'book', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5042562045', 'display_name': 'Masamichi Takesaki', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I161318765', 'display_name': 'University of California, Los Angeles', 'ror': 'https://ror.org/046rm7j60', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I161318765']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Masamichi Takesaki', 'raw_affiliation_strings': ['Department of Mathematics, University of California, Los Angeles, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of California, Los Angeles, USA', 'institution_ids': ['https://openalex.org/I161318765']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5042562045'], 'corresponding_institution_ids': ['https://openalex.org/I161318765'], 'apc_list': None, 'apc_paid': None, 'fwci': 32.103, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 3378, 'citation_normalized_percentile': {'value': 0.96, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11673', 'display_name': 'Deformations and Structures of Hom-Lie Algebras', 'score': 0.9309, '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'}}, 'topics': [{'id': 'https://openalex.org/T11673', 'display_name': 'Deformations and Structures of Hom-Lie Algebras', 'score': 0.9309, '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/affiliated-operator', 'display_name': 'Affiliated operator', 'score': 0.67406154}, {'id': 'https://openalex.org/keywords/neumann-series', 'display_name': 'Neumann series', 'score': 0.6529549}, {'id': 'https://openalex.org/keywords/operator-algebra', 'display_name': 'Operator algebra', 'score': 0.6330054}, {'id': 'https://openalex.org/keywords/encyclopedia', 'display_name': 'Encyclopedia', 'score': 0.5708989}, {'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.5639852}, {'id': 'https://openalex.org/keywords/von-neumann-algebra', 'display_name': 'Von Neumann algebra', 'score': 0.56237555}, {'id': 'https://openalex.org/keywords/tomita–takesaki-theory', 'display_name': 'Tomita–Takesaki theory', 'score': 0.43514472}, {'id': 'https://openalex.org/keywords/bitwise-operation', 'display_name': 'Bitwise operation', 'score': 0.43053707}, {'id': 'https://openalex.org/keywords/quasi-lie-algebras', 'display_name': 'Quasi-Lie Algebras', 'score': 0.425719}], 'concepts': [{'id': 'https://openalex.org/C80469333', 'wikidata': 'https://www.wikidata.org/wiki/Q189088', 'display_name': 'Von Neumann architecture', 'level': 2, 'score': 0.7470654}, {'id': 'https://openalex.org/C138081561', 'wikidata': 'https://www.wikidata.org/wiki/Q4688920', 'display_name': 'Affiliated operator', 'level': 5, 'score': 0.67406154}, {'id': 'https://openalex.org/C137343772', 'wikidata': 'https://www.wikidata.org/wiki/Q584910', 'display_name': 'Neumann series', 'level': 2, 'score': 0.6529549}, {'id': 'https://openalex.org/C191413488', 'wikidata': 'https://www.wikidata.org/wiki/Q1892554', 'display_name': 'Operator algebra', 'level': 2, 'score': 0.6330054}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5890941}, {'id': 'https://openalex.org/C148863701', 'wikidata': 'https://www.wikidata.org/wiki/Q5292', 'display_name': 'Encyclopedia', 'level': 2, 'score': 0.5708989}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.5696539}, {'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.5639852}, {'id': 'https://openalex.org/C21261745', 'wikidata': 'https://www.wikidata.org/wiki/Q7941491', 'display_name': "Von Neumann's theorem", 'level': 4, 'score': 0.56238353}, {'id': 'https://openalex.org/C153408630', 'wikidata': 'https://www.wikidata.org/wiki/Q1970172', 'display_name': 'Von Neumann algebra', 'level': 3, 'score': 0.56237555}, {'id': 'https://openalex.org/C183778304', 'wikidata': 'https://www.wikidata.org/wiki/Q165474', 'display_name': 'Commutative property', 'level': 2, 'score': 0.556389}, {'id': 'https://openalex.org/C144133476', 'wikidata': 'https://www.wikidata.org/wiki/Q4666687', 'display_name': 'Abelian von Neumann algebra', 'level': 5, 'score': 0.5441838}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4914924}, {'id': 'https://openalex.org/C143724316', 'wikidata': 'https://www.wikidata.org/wiki/Q312468', 'display_name': 'Series (stratigraphy)', 'level': 2, 'score': 0.4442768}, {'id': 'https://openalex.org/C54512446', 'wikidata': 'https://www.wikidata.org/wiki/Q7818977', 'display_name': 'Tomita–Takesaki theory', 'level': 5, 'score': 0.43514472}, {'id': 'https://openalex.org/C134765980', 'wikidata': 'https://www.wikidata.org/wiki/Q879126', 'display_name': 'Bitwise operation', 'level': 2, 'score': 0.43053707}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.20809612}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.18063211}, {'id': 'https://openalex.org/C99392333', 'wikidata': 'https://www.wikidata.org/wiki/Q5450385', 'display_name': 'Finite-rank operator', 'level': 3, 'score': 0.140008}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.08040249}, {'id': 'https://openalex.org/C161191863', 'wikidata': 'https://www.wikidata.org/wiki/Q199655', 'display_name': 'Library science', 'level': 1, 'score': 0.047349185}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C158448853', 'wikidata': 'https://www.wikidata.org/wiki/Q425218', 'display_name': 'Repressor', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C86339819', 'wikidata': 'https://www.wikidata.org/wiki/Q407384', 'display_name': 'Transcription factor', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C151730666', 'wikidata': 'https://www.wikidata.org/wiki/Q7205', 'display_name': 'Paleontology', 'level': 1, 'score': 0.0}, {'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/C132954091', 'wikidata': 'https://www.wikidata.org/wiki/Q194397', 'display_name': 'Banach space', 'level': 2, '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': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-662-10451-4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210171045', 'display_name': 'Encyclopaedia of mathematical sciences', 'issn_l': '0938-0396', 'issn': ['0938-0396', '2512-3459'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4296628161', 'https://openalex.org/W4252609071', 'https://openalex.org/W2796439960', 'https://openalex.org/W2504996155', 'https://openalex.org/W2115074912', 'https://openalex.org/W2035312857', 'https://openalex.org/W2010184271', 'https://openalex.org/W1993517854', 'https://openalex.org/W1968413674', 'https://openalex.org/W1505726829'], 'abstract_inverted_index': {'to': [0], 'the': [1, 29], 'Encyclopaedia': [2], 'Subseries': [3], 'on': [4], 'Operator': [5], 'Algebras': [6], 'and': [7, 25, 31], 'Non-Commutative': [8], 'Geometry': [9], 'The': [10], 'theory': [11], 'of': [12, 21], 'von': [13, 26], 'Neumann': [14, 27], 'algebras': [15], 'was': [16], 'initiated': [17], 'in': [18, 28], 'a': [19], 'series': [20], 'papers': [22], 'by': [23], 'Murray': [24], "1930's": [30], '1940': [32]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1524878283', 'counts_by_year': [{'year': 2024, 'cited_by_count': 23}, {'year': 2023, 'cited_by_count': 47}, {'year': 2022, 'cited_by_count': 69}, {'year': 2021, 'cited_by_count': 120}, {'year': 2020, 'cited_by_count': 175}, {'year': 2019, 'cited_by_count': 157}, {'year': 2018, 'cited_by_count': 111}, {'year': 2017, 'cited_by_count': 113}, {'year': 2016, 'cited_by_count': 124}, {'year': 2015, 'cited_by_count': 143}, {'year': 2014, 'cited_by_count': 134}, {'year': 2013, 'cited_by_count': 144}, {'year': 2012, 'cited_by_count': 128}], 'updated_date': '2024-09-17T12:39:27.138805', 'created_date': '2016-06-24'}