{"_buckets": {"deposit": "e94ad9dc-44a6-4a50-9dd7-e9c82be41835"}, "_deposit": {"id": "28447", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "28447"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00028447"}, "item_10_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2016-12", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "12", "bibliographicPageEnd": "2492", "bibliographicPageStart": "2461", "bibliographicVolumeNumber": "152", "bibliographic_titles": [{"bibliographic_title": "Compositio Mathematica"}]}]}, "item_10_description_4": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "Let I be any nonempty set and let (Mi, \u03c6i)i\u2208I be any family of nonamenable factors, endowed with arbitrary faithful normal states, that belong to a large class C anti-free of (possibly type III) von Neumann algebras including all nonprime factors, all nonfull factors and all factors possessing Cartan subalgebras. For the free product (M,\u03c6)=*i\u2208I(Mi,\u03c6i) , we show that the free product von Neumann algebra M retains the cardinality |I| and each nonamenable factor Mi up to stably inner conjugacy, after permutation of the indices. Our main theorem unifies all previous Kurosh-type rigidity results for free product type II1 factors and is new for free product type III factors. It moreover provides new rigidity phenomena for type III factors.", "subitem_description_type": "Abstract"}]}, "item_10_publisher_32": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Cambridge University Press "}]}, "item_10_relation_11": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.1112/S0010437X16007673", "subitem_relation_type_select": "DOI"}}]}, "item_10_rights_12": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "This article has been published in a revised form in [Compositio Mathematica] [https://doi.org/10.1112/S0010437X16007673]. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. \u00a9 2016 Cambridge University Press."}]}, "item_10_select_15": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_10_source_id_61": {"attribute_name": "ISSN\uff08print\uff09", "attribute_value_mlt": [{"subitem_source_identifier": "0010-437X", "subitem_source_identifier_type": "ISSN"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Houdayer, Cyril"}], "nameIdentifiers": [{"nameIdentifier": "93082", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Ueda, Yoshimichi"}], "nameIdentifiers": [{"nameIdentifier": "93083", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2019-09-02"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "1507_02157.pdf", "filesize": [{"value": "439.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 439700.0, "url": {"label": "1507_02157", "url": "https://nagoya.repo.nii.ac.jp/record/28447/files/1507_02157.pdf"}, "version_id": "dfefd7b3-a13b-48b0-95fd-27c13de19d22"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Rigidity of free product von Neumann algebras", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Rigidity of free product von Neumann algebras"}]}, "item_type_id": "10", "owner": "1", "path": ["697/698/699"], "permalink_uri": "http://hdl.handle.net/2237/00030638", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_name_i18n": "\u516c\u958b\u65e5", "attribute_value": "2019-09-02"}, "publish_date": "2019-09-02", "publish_status": "0", "recid": "28447", "relation": {}, "relation_version_is_last": true, "title": ["Rigidity of free product von Neumann algebras"], "weko_shared_id": null}