{"_buckets": {"deposit": "10c9eb8b-fd31-4f75-a03e-edd44a42e8c0"}, "_deposit": {"id": "2010316", "owners": [1], "pid": {"revision_id": 0, "type": "depid", "value": "2010316"}, "status": "published"}, "_oai": {"id": "oai:u-ryukyu.repo.nii.ac.jp:02010316", "sets": ["1642837636861", "1642838406414"]}, "author_link": [], "item_1617186331708": {"attribute_name": "Title", "attribute_value_mlt": [{"subitem_1551255647225": "K-theory for amalgams and multi-ones of C^\u2217-algebras", "subitem_1551255648112": "ja"}]}, "item_1617186419668": {"attribute_name": "Creator", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Sudo, Takahiro", "creatorNameLang": "en"}]}]}, "item_1617186476635": {"attribute_name": "Access Rights", "attribute_value_mlt": [{"subitem_1522299639480": "open access", "subitem_1600958577026": "http://purl.org/coar/access_right/c_abf2"}]}, "item_1617186609386": {"attribute_name": "Subject", "attribute_value_mlt": [{"subitem_1522299896455": "en", "subitem_1522300014469": "Other", "subitem_1523261968819": "C^*-algebra"}, {"subitem_1522299896455": "en", "subitem_1522300014469": "Other", "subitem_1523261968819": "K-theory"}, {"subitem_1522299896455": "en", "subitem_1522300014469": "Other", "subitem_1523261968819": "Crossed product"}, {"subitem_1522299896455": "en", "subitem_1522300014469": "Other", "subitem_1523261968819": "Discrete group"}]}, "item_1617186626617": {"attribute_name": "Description", "attribute_value_mlt": [{"subitem_description": "We obtain a six-term exact sequence of K-theory for (full) amalgams of C^*-algebras. We also obtain a six-term exact sequence of K-theory for the full crossed product of a C^* -algebra by an amalgam of discrete groups, as well. Furthermore, it follows from this result and K-amenability for discrete (or locally compact) groups that the same is true for its reduced crossed product. We also study K-theory of (full) multi-amalgams of the (full) group C^*-algebras of discrete groups. As an important application we compute K-groups of the full group C^*-algebras of SL_n(Z) (n \u003e 3).In addition, an appendix on K-theory and beyond and an appendix on finite subgroups of GL_3(Z) and SL_3(Z) are presented.", "subitem_description_type": "Other"}, {"subitem_description": "\u6b63\u8aa4\u8868\u8ffd\u52a0 : 2019\u5e742\u67084\u65e5", "subitem_description_type": "Other"}, {"subitem_description": "\u6b63\u8aa4\u8868\u306f\u3001Ryukyu Mathmatical Journal vol.22\uff082009\uff09\u306b\u63b2\u8f09\u3055\u308c\u305f\u3082\u306e", "subitem_description_type": "Other"}, {"subitem_description": "\u7d00\u8981\u8ad6\u6587", "subitem_description_type": "Other"}]}, "item_1617186643794": {"attribute_name": "Publisher", "attribute_value_mlt": [{"subitem_1522300295150": "en", "subitem_1522300316516": "Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus"}]}, "item_1617186702042": {"attribute_name": "Language", "attribute_value_mlt": [{"subitem_1551255818386": "eng"}]}, "item_1617186783814": {"attribute_name": "Identifier", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/20.500.12000/43505"}]}, "item_1617186920753": {"attribute_name": "Source Identifier", "attribute_value_mlt": [{"subitem_1522646500366": "ISSN", "subitem_1522646572813": "1344-008X"}, {"subitem_1522646500366": "NCID", "subitem_1522646572813": "AA10779580"}]}, "item_1617186941041": {"attribute_name": "Source Title", "attribute_value_mlt": [{"subitem_1522650068558": "en", "subitem_1522650091861": "Ryukyu mathematical journal"}]}, "item_1617187056579": {"attribute_name": "Bibliographic Information", "attribute_value_mlt": [{"bibliographicPageEnd": "139", "bibliographicPageStart": "57", "bibliographicVolumeNumber": "21"}]}, "item_1617258105262": {"attribute_name": "Resource Type", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_1617265215918": {"attribute_name": "Version Type", "attribute_value_mlt": [{"subitem_1522305645492": "VoR", "subitem_1600292170262": "http://purl.org/coar/version/c_970fb48d4fbd8a85"}]}, "item_1617605131499": {"attribute_name": "File", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "download_preview_message": "", "file_order": 0, "filename": "Vol22p115.pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "", "size": 0, "url": {"objectType": "fulltext", "url": "https://u-ryukyu.repo.nii.ac.jp/record/2010316/files/Vol22p115.pdf"}, "version_id": "fcfe7082-4516-4a95-9073-235a4c0d9f56"}, {"accessrole": "open_access", "download_preview_message": "", "file_order": 1, "filename": "Vol21p057.pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "", "size": 0, "url": {"objectType": "fulltext", "url": "https://u-ryukyu.repo.nii.ac.jp/record/2010316/files/Vol21p057.pdf"}, "version_id": "0f2edceb-a2e8-4297-8fb2-825305a3dad7"}]}, "item_title": "K-theory for amalgams and multi-ones of C^\u2217-algebras", "item_type_id": "15", "owner": "1", "path": ["1642837636861", "1642838406414"], "permalink_uri": "http://hdl.handle.net/20.500.12000/43505", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2019-02-04"}, "publish_date": "2019-02-04", "publish_status": "0", "recid": "2010316", "relation": {}, "relation_version_is_last": true, "title": ["K-theory for amalgams and multi-ones of C^\u2217-algebras"], "weko_shared_id": -1}