Publication Information

{'id': 'https://openalex.org/W2029309963', 'doi': 'https://doi.org/10.1063/1.1666054', 'title': 'Noncommutative Probability on von Neumann Algebras', 'display_name': 'Noncommutative Probability on von Neumann Algebras', 'publication_year': 1972, 'publication_date': '1972-05-01', 'ids': {'openalex': 'https://openalex.org/W2029309963', 'doi': 'https://doi.org/10.1063/1.1666054', 'mag': '2029309963'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1063/1.1666054', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S158241587', 'display_name': 'Journal of Mathematical Physics', 'issn_l': '0022-2488', 'issn': ['0022-2488', '1089-7658', '1527-2427'], 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320257', 'host_organization_name': 'American Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310320257'], 'host_organization_lineage_names': ['American Institute of Physics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5060327956', 'display_name': 'Stanley Gudder', 'orcid': 'https://orcid.org/0000-0002-4681-0135'}, 'institutions': [{'id': 'https://openalex.org/I131651094', 'display_name': 'University of Denver', 'ror': 'https://ror.org/04w7skc03', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I131651094']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'S. Gudder', 'raw_affiliation_strings': ['Department of Mathematics, University of Denver, Denver, Colorado 80210'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Denver, Denver, Colorado 80210', 'institution_ids': ['https://openalex.org/I131651094']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5022861476', 'display_name': 'Jean-Paul Marchand', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I131651094', 'display_name': 'University of Denver', 'ror': 'https://ror.org/04w7skc03', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I131651094']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'J.-P. Marchand', 'raw_affiliation_strings': ['Department of Mathematics, University of Denver, Denver, Colorado 80210'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Denver, Denver, Colorado 80210', 'institution_ids': ['https://openalex.org/I131651094']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.217, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 40, 'citation_normalized_percentile': {'value': 0.811912, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 93, 'max': 94}, 'biblio': {'volume': '13', 'issue': '5', 'first_page': '799', 'last_page': '806'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10622', 'display_name': 'Quantum Mechanics and Applications', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10622', 'display_name': 'Quantum Mechanics and Applications', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10899', 'display_name': 'Advanced Operator Algebra Research', 'score': 0.9979, '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/T11727', 'display_name': 'Advanced Algebra and Logic', 'score': 0.9935, '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/von-neumann-algebra', 'display_name': 'Von Neumann algebra', 'score': 0.8502886}, {'id': 'https://openalex.org/keywords/affiliated-operator', 'display_name': 'Affiliated operator', 'score': 0.60407186}, {'id': 'https://openalex.org/keywords/free-probability', 'display_name': 'Free probability', 'score': 0.5258182}], 'concepts': [{'id': 'https://openalex.org/C153408630', 'wikidata': 'https://www.wikidata.org/wiki/Q1970172', 'display_name': 'Von Neumann algebra', 'level': 3, 'score': 0.8502886}, {'id': 'https://openalex.org/C144133476', 'wikidata': 'https://www.wikidata.org/wiki/Q4666687', 'display_name': 'Abelian von Neumann algebra', 'level': 5, 'score': 0.84189296}, {'id': 'https://openalex.org/C68797384', 'wikidata': 'https://www.wikidata.org/wiki/Q2746792', 'display_name': 'Noncommutative geometry', 'level': 2, 'score': 0.7414037}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7142204}, {'id': 'https://openalex.org/C80469333', 'wikidata': 'https://www.wikidata.org/wiki/Q189088', 'display_name': 'Von Neumann architecture', 'level': 2, 'score': 0.700639}, {'id': 'https://openalex.org/C21261745', 'wikidata': 'https://www.wikidata.org/wiki/Q7941491', 'display_name': "Von Neumann's theorem", 'level': 4, 'score': 0.6467082}, {'id': 'https://openalex.org/C138081561', 'wikidata': 'https://www.wikidata.org/wiki/Q4688920', 'display_name': 'Affiliated operator', 'level': 5, 'score': 0.60407186}, {'id': 'https://openalex.org/C62799726', 'wikidata': 'https://www.wikidata.org/wiki/Q190056', 'display_name': 'Hilbert space', 'level': 2, 'score': 0.56584096}, {'id': 'https://openalex.org/C70120467', 'wikidata': 'https://www.wikidata.org/wiki/Q515893', 'display_name': 'Free probability', 'level': 2, 'score': 0.5258182}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5224047}, {'id': 'https://openalex.org/C32848918', 'wikidata': 'https://www.wikidata.org/wiki/Q845789', 'display_name': 'Observable', 'level': 2, 'score': 0.48149383}, {'id': 'https://openalex.org/C34388435', 'wikidata': 'https://www.wikidata.org/wiki/Q2267362', 'display_name': 'Bounded function', 'level': 2, 'score': 0.45564517}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.39138436}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.33001494}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.23139009}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.16299662}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.15501863}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.13743079}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.122017175}, {'id': 'https://openalex.org/C82916341', 'wikidata': 'https://www.wikidata.org/wiki/Q6934990', 'display_name': 'Multiplication operator', 'level': 3, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1063/1.1666054', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S158241587', 'display_name': 'Journal of Mathematical Physics', 'issn_l': '0022-2488', 'issn': ['0022-2488', '1089-7658', '1527-2427'], 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320257', 'host_organization_name': 'American Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310320257'], 'host_organization_lineage_names': ['American Institute of Physics'], 'type': 'journal'}, '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': 7, 'referenced_works': ['https://openalex.org/W1992990039', 'https://openalex.org/W1997872268', 'https://openalex.org/W2002109927', 'https://openalex.org/W2042457049', 'https://openalex.org/W2075190498', 'https://openalex.org/W2159851566', 'https://openalex.org/W2320266418'], 'related_works': ['https://openalex.org/W4295116850', 'https://openalex.org/W4289438463', 'https://openalex.org/W3133945754', 'https://openalex.org/W2894621954', 'https://openalex.org/W2504996155', 'https://openalex.org/W2500128733', 'https://openalex.org/W2076657474', 'https://openalex.org/W2029309963', 'https://openalex.org/W1579793067', 'https://openalex.org/W1479885642'], 'abstract_inverted_index': {'We': [0], 'generalize': [1], 'ordinary': [2, 54], 'probability': [3], 'theory': [4], 'to': [5, 79], 'those': [6], 'von': [7, 32, 62], 'Neumann': [8, 33, 63], 'algebras': [9], 'A,': [10], 'for': [11], 'which': [12, 27, 58], "Dye's": [13], 'generalized': [14], 'version': [15], 'of': [16, 42, 53, 65, 82], 'the': [17, 23, 51, 61, 80], 'Radon-Nikodym': [18], 'theorem': [19], 'holds.': [20], 'This': [21], 'includes': [22, 50], 'classical': [24], 'case': [25, 52], 'in': [26, 57], 'A': [28], 'is': [29, 60, 77], 'an': [30, 37], 'Abelian': [31], 'algebra': [34, 64], 'generated': [35], 'by': [36], 'observable': [38], 'or': [39], 'complete': [40], 'set': [41], 'commuting': [43], 'observables.': [44], 'Via': [45], "Gleason's": [46], 'theorem,': [47], 'this': [48], 'also': [49], 'quantum': [55], 'mechanics,': [56], 'A=B(H)': [59], 'all': [66], 'bounded': [67], 'operators': [68], 'on': [69], 'a': [70], 'separable': [71], 'Hilbert': [72], 'space': [73], 'H.': [74], 'Particular': [75], 'consideration': [76], 'given': [78], 'concepts': [81], 'conditioning,': [83], 'sufficient': [84], 'statistics,': [85], 'coarse-graining,': [86], 'and': [87], 'filtering.': [88]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2029309963', 'counts_by_year': [], 'updated_date': '2025-01-19T19:52:13.693361', 'created_date': '2016-06-24'}