{"_buckets": {"deposit": "74bd07d0-a059-49bc-9717-896a182248c8"}, "_deposit": {"id": "4031", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "4031"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00004031"}, "item_7_alternative_title_1": {"attribute_name": "\u305d\u306e\u4ed6\u306e\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_alternative_title": "\u96e2\u6563\u7fa4\u306e\u30b9\u30c8\u30fc\u30f3\uff0d\u30c1\u30a7\u30c3\u30af\u5883\u754c\u3068\u6e2c\u5ea6\u540c\u5024\u7406\u8ad6"}]}, "item_7_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2010-03-24", "bibliographicIssueDateType": "Issued"}, "bibliographic_titles": [{}]}]}, "item_7_date_granted_25": {"attribute_name": "\u5b66\u4f4d\u6388\u4e0e\u5e74\u6708\u65e5", "attribute_value_mlt": [{"subitem_dategranted": "2010-03-24"}]}, "item_7_degree_grantor_23": {"attribute_name": "\u5b66\u4f4d\u6388\u4e0e\u6a5f\u95a2", "attribute_value_mlt": [{"subitem_degreegrantor": [{"subitem_degreegrantor_name": "University of Tokyo (\u6771\u4eac\u5927\u5b66)"}]}]}, "item_7_degree_name_20": {"attribute_name": "\u5b66\u4f4d\u540d", "attribute_value_mlt": [{"subitem_degreename": "\u535a\u58eb(\u6570\u7406\u79d1\u5b66)"}]}, "item_7_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "We get three types of results on measure equivalence theory: directproduct groups of Ozawa\u0027s class S groups, wreath product groups and amalgamatedfree products. We prove measure equivalence factorization results on directproduct groups of Ozawa\u0027s class S groups. As consequences, Monod-Shalom typeorbit equivalence rigidity theorems follow. We prove that if two wreath productgroups A\u2240G, B\u2240\u0393 of non-amenable exact direct product groups G, \u0393 with amenablebases A, B are measure equivalent, then G and \u0393 are measure equivalent. Rigidityresults on amalgamated free products of non-amenable exact direct productgroups are also shown. We also prove that being in Ozawa\u0027s class S of countablediscrete groups is invariant under measure equivalence.", "subitem_description_type": "Abstract"}]}, "item_7_dissertation_number_26": {"attribute_name": "\u5b66\u4f4d\u6388\u4e0e\u756a\u53f7", "attribute_value_mlt": [{"subitem_dissertationnumber": "\u7532\u7b2c26108\u53f7"}]}, "item_7_full_name_3": {"attribute_name": "\u8457\u8005\u5225\u540d", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "9307", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "\u9152\u5302, \u5b8f\u6a39"}]}]}, "item_7_identifier_registration": {"attribute_name": "ID\u767b\u9332", "attribute_value_mlt": [{"subitem_identifier_reg_text": "10.15083/00004022", "subitem_identifier_reg_type": "JaLC"}]}, "item_7_select_21": {"attribute_name": "\u5b66\u4f4d", "attribute_value_mlt": [{"subitem_select_item": "doctoral"}]}, "item_7_subject_13": {"attribute_name": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "410", "subitem_subject_scheme": "NDC"}]}, "item_7_text_22": {"attribute_name": "\u5b66\u4f4d\u5206\u91ce", "attribute_value_mlt": [{"subitem_text_value": "Mathematical Sciences (\u6570\u7406\u79d1\u5b66)"}]}, "item_7_text_24": {"attribute_name": "\u7814\u7a76\u79d1\u30fb\u5c02\u653b", "attribute_value_mlt": [{"subitem_text_value": "Graduate School of Mathematical Sciences (\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1)"}]}, "item_7_text_27": {"attribute_name": "\u5b66\u4f4d\u8a18\u756a\u53f7", "attribute_value_mlt": [{"subitem_text_value": "\u535a\u6570\u7406\u7b2c350\u53f7"}]}, "item_7_text_36": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Thesis"}]}, "item_7_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "\u6771\u4eac\u5927\u5b66\u5927\u5b66\u9662\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1"}, {"subitem_text_value": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "SAKO, Hiroki"}], "nameIdentifiers": [{"nameIdentifier": "9306", "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": "2017-06-01"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "SakoH_22_3_PhD_a.pdf", "filesize": [{"value": "5.2 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 5200000.0, "url": {"label": "SakoH_22_3_PhD_a.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/4031/files/SakoH_22_3_PhD_a.pdf"}, "version_id": "a584ee46-71ed-42b3-9802-f554f6569853"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-01"}], "displaytype": "detail", "download_preview_message": "", "file_order": 1, "filename": "SakoH_22_3_PhD_b.pdf", "filesize": [{"value": "49.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 49500.0, "url": {"label": "SakoH_22_3_PhD_b.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/4031/files/SakoH_22_3_PhD_b.pdf"}, "version_id": "6eec4b67-3a3e-4cbc-991e-c6dc9cbc2882"}]}, "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": "thesis", "resourceuri": "http://purl.org/coar/resource_type/c_46ec"}]}, "item_title": "Stone-\u010cech boundaries of discrete groups and measure equivalence theory", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Stone-\u010cech boundaries of discrete groups and measure equivalence theory"}]}, "item_type_id": "7", "owner": "1", "path": ["312/391", "9/233/280"], "permalink_uri": "https://doi.org/10.15083/00004022", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2012-10-23"}, "publish_date": "2012-10-23", "publish_status": "0", "recid": "4031", "relation": {}, "relation_version_is_last": true, "title": ["Stone-\u010cech boundaries of discrete groups and measure equivalence theory"], "weko_shared_id": null}