{"created":"2022-02-01T06:34:33.503038+00:00","id":2011107,"links":{},"metadata":{"_buckets":{"deposit":"edd787f7-2d2b-4cc0-8e54-2b7ab090edcf"},"_deposit":{"id":"2011107","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2011107"},"status":"published"},"_oai":{"id":"oai:u-ryukyu.repo.nii.ac.jp:02011107","sets":["1642838163960:1642838338003","1642838403551:1642838406414"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_1551255647225":"EQUIVARIANT PICARD GROUPS OF C^*-ALGEBRAS WITH FINITE DIMENSIONAL C^*-HOPF ALGEBRA COACTIONS","subitem_1551255648112":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kodaka, Kazunori","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_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"Let A be a C^∗-algebra and H a finite dimensional C^∗-Hopf algebra with its dual C^∗-Hopf algebra H^0. Let (ρ,u) be a twisted coaction of H^0 on A. We shall define the (ρ,u,H)-equivariant Picard group of A, which is denoted by Pic^<ρ,u>_H(A), and discuss the basic properties of Pic^<ρ,u>_H(A). Also, we suppose that (ρ,u) is the coaction of H^0 on the unital C^∗-algebra A, that is, u=1⊗1^0. We investigate the relation between Pic(A^s), the ordinary Picard group of A^s, and Pic^<ρ^s>_H(A^s), where A^s is the stable C^∗-alge\\-bra of A and ρ^s is the coaction of H^0 on A^s induced by ρ. Furthermore, we shall show that Pic^<ρ^^^>_H^0(A⋊_<ρ,u>H) is isomorphic to Pic^<ρ,u>_H(A), where ρ^^ˆ is the dual coaction of H on the twisted crossed product A⋊_<ρ,u>H of A by the twisted coaction (ρ,u) of H^0 on A.","subitem_description_type":"Other"},{"subitem_description":"論文","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_1522300295150":"en","subitem_1522300316516":"Rocky Mountain Mathematics Consortium"}]},"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/20.500.12000/46910"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_1522646500366":"ISSN","subitem_1522646572813":"0035-7596"}]},"item_1617186941041":{"attribute_name":"Source Title","attribute_value_mlt":[{"subitem_1522650068558":"en","subitem_1522650091861":"Rocky Mountain Journal of Mathematics"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"5","bibliographicPageEnd":"1615","bibliographicPageStart":"1565","bibliographicVolumeNumber":"47"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","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_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_1522306287251":{"subitem_1522306382014":"DOI","subitem_1522306436033":"https://doi.org/10.1216/RMJ-2017-47-5-1565"}},{"subitem_1522306287251":{"subitem_1522306382014":"DOI","subitem_1522306436033":"https://doi.org/10.1216/RMJ-2017-47-5-1565"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","filename":"1512.07724.pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://u-ryukyu.repo.nii.ac.jp/record/2011107/files/1512.07724.pdf"},"version_id":"cc908c03-00ba-4683-bad7-4b0bde419b26"}]},"item_title":"EQUIVARIANT PICARD GROUPS OF C^*-ALGEBRAS WITH FINITE DIMENSIONAL C^*-HOPF ALGEBRA COACTIONS","item_type_id":"15","owner":"1","path":["1642838338003","1642838406414"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-10-08"},"publish_date":"2020-10-08","publish_status":"0","recid":"2011107","relation_version_is_last":true,"title":["EQUIVARIANT PICARD GROUPS OF C^*-ALGEBRAS WITH FINITE DIMENSIONAL C^*-HOPF ALGEBRA COACTIONS"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-08-03T05:36:02.281413+00:00"}