Publication Information

{'id': 'https://openalex.org/W2410174142', 'doi': 'https://doi.org/10.48550/arxiv.1606.02071', 'title': 'Monoidal category of C*-algebras', 'display_name': 'Monoidal category of C*-algebras', 'publication_year': 2016, 'publication_date': '2016-01-01', 'ids': {'openalex': 'https://openalex.org/W2410174142', 'doi': 'https://doi.org/10.48550/arxiv.1606.02071', 'mag': '2410174142'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1606.02071', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1606.02071', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5049673766', 'display_name': 'S. L. Woronowicz', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'S. L. Woronowicz', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5049673766'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 66}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10899', 'display_name': 'Advanced Operator Algebra Research', 'score': 1.0, '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': 1.0, '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': 0.9981, '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/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9962, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/closed-monoidal-category', 'display_name': 'Closed monoidal category', 'score': 0.9385482}, {'id': 'https://openalex.org/keywords/higher-category-theory', 'display_name': 'Higher category theory', 'score': 0.7424994}, {'id': 'https://openalex.org/keywords/monoidal-category', 'display_name': 'Monoidal category', 'score': 0.69068766}, {'id': 'https://openalex.org/keywords/biproduct', 'display_name': 'Biproduct', 'score': 0.4258841}], 'concepts': [{'id': 'https://openalex.org/C56208153', 'wikidata': 'https://www.wikidata.org/wiki/Q5135347', 'display_name': 'Closed monoidal category', 'level': 4, 'score': 0.9385482}, {'id': 'https://openalex.org/C98912367', 'wikidata': 'https://www.wikidata.org/wiki/Q17103860', 'display_name': 'Symmetric monoidal category', 'level': 3, 'score': 0.91177106}, {'id': 'https://openalex.org/C156163052', 'wikidata': 'https://www.wikidata.org/wiki/Q5379515', 'display_name': 'Enriched category', 'level': 3, 'score': 0.8334576}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7685734}, {'id': 'https://openalex.org/C76069219', 'wikidata': 'https://www.wikidata.org/wiki/Q5758318', 'display_name': 'Higher category theory', 'level': 4, 'score': 0.7424994}, {'id': 'https://openalex.org/C51255310', 'wikidata': 'https://www.wikidata.org/wiki/Q1163016', 'display_name': 'Tensor product', 'level': 2, 'score': 0.7124477}, {'id': 'https://openalex.org/C128107574', 'wikidata': 'https://www.wikidata.org/wiki/Q182003', 'display_name': 'Injective function', 'level': 2, 'score': 0.69587415}, {'id': 'https://openalex.org/C2779904274', 'wikidata': 'https://www.wikidata.org/wiki/Q1945014', 'display_name': 'Monoidal category', 'level': 2, 'score': 0.69068766}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.61289835}, {'id': 'https://openalex.org/C90673727', 'wikidata': 'https://www.wikidata.org/wiki/Q901718', 'display_name': 'Product (mathematics)', 'level': 2, 'score': 0.43851608}, {'id': 'https://openalex.org/C162205778', 'wikidata': 'https://www.wikidata.org/wiki/Q4915506', 'display_name': 'Biproduct', 'level': 4, 'score': 0.4258841}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.35878867}, {'id': 'https://openalex.org/C156772000', 'wikidata': 'https://www.wikidata.org/wiki/Q864475', 'display_name': 'Functor', 'level': 2, 'score': 0.15292698}, {'id': 'https://openalex.org/C128520899', 'wikidata': 'https://www.wikidata.org/wiki/Q1575634', 'display_name': 'Concrete category', 'level': 3, 'score': 0.06873438}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1606.02071', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1606.02071', 'pdf_url': 'http://arxiv.org/pdf/1606.02071', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1606.02071', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1606.02071', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 9, 'referenced_works': ['https://openalex.org/W1795681215', 'https://openalex.org/W2013113198', 'https://openalex.org/W2053662828', 'https://openalex.org/W2081841656', 'https://openalex.org/W2100438363', 'https://openalex.org/W2785325519', 'https://openalex.org/W3105702455', 'https://openalex.org/W3121959403', 'https://openalex.org/W594179213'], 'related_works': ['https://openalex.org/W3103633364', 'https://openalex.org/W3011244161', 'https://openalex.org/W2799284011', 'https://openalex.org/W2415965387', 'https://openalex.org/W2410174142', 'https://openalex.org/W2316040467', 'https://openalex.org/W2288880934', 'https://openalex.org/W2156541639', 'https://openalex.org/W2150762370', 'https://openalex.org/W2087192056'], 'abstract_inverted_index': {'We': [0, 15, 61], 'consider': [1], 'the': [2, 32, 83, 90, 100], 'category': [3, 19], 'of': [4, 9, 72, 89, 99, 106], 'C*-algebras': [5, 92], 'equipped': [6, 94], 'with': [7, 43, 95], 'actions': [8], 'a': [10, 21, 67, 96, 103], 'locally': [11], 'compact': [12], 'quantum': [13], 'group.': [14, 101], 'show': [16], 'that': [17, 63, 78], 'this': [18, 48], 'admits': [20], 'monoidal': [22, 37, 59, 64, 70, 79, 107], 'structure': [23], 'satisfying': [24], 'certain': [25], 'natural': [26, 54], 'conditions': [27], 'if': [28, 31], 'and': [29, 77], 'only': [30, 52], 'group': [33], 'is': [34, 66, 75, 93, 109], 'quasitriangular.': [35], 'The': [36], 'structures': [38], 'are': [39], 'in': [40], 'bijective': [41], 'correspondence': [42], 'unitary': [44], 'R-matrices.': [45], 'To': [46], 'prove': [47], 'result': [49], 'we': [50], 'use': [51], 'very': [53], 'properties': [55], 'imposed': [56], 'on': [57], 'considered': [58], 'structures.': [60], 'assume': [62], 'product': [65, 71, 80, 86, 108], 'crossed': [68], 'product,': [69], 'injective': [73, 76], 'morphisms': [74], 'reduces': [81], 'to': [82], 'minimal': [84], 'tensor': [85], 'when': [87], 'one': [88], 'involved': [91], 'trivial': [97], 'action': [98], 'No': [102], 'priori': [104], 'form': [105], 'used.': [110]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2410174142', 'counts_by_year': [], 'updated_date': '2024-12-07T04:18:31.423332', 'created_date': '2016-06-24'}