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EQUIVARIANT PICARD GROUPS OF C^*-ALGEBRAS WITH FINITE DIMENSIONAL C^*-HOPF ALGEBRA COACTIONS
http://hdl.handle.net/20.500.12000/46910
http://hdl.handle.net/20.500.12000/46910f9a75a0a-0c17-4e37-8760-cd6b5fa66d3d
名前 / ファイル | ライセンス | アクション |
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1512.07724.pdf
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Item type | デフォルトアイテムタイプ(フル)(1) | |||||||
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公開日 | 2020-10-08 | |||||||
タイトル | ||||||||
タイトル | EQUIVARIANT PICARD GROUPS OF C^*-ALGEBRAS WITH FINITE DIMENSIONAL C^*-HOPF ALGEBRA COACTIONS | |||||||
言語 | en | |||||||
作成者 |
Kodaka, Kazunori
× Kodaka, Kazunori
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アクセス権 | ||||||||
アクセス権 | open access | |||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||
内容記述 | ||||||||
内容記述タイプ | Other | |||||||
内容記述 | 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. | |||||||
内容記述 | ||||||||
内容記述タイプ | Other | |||||||
内容記述 | 論文 | |||||||
出版者 | ||||||||
言語 | en | |||||||
出版者 | Rocky Mountain Mathematics Consortium | |||||||
言語 | ||||||||
言語 | eng | |||||||
資源タイプ | ||||||||
資源タイプ | journal article | |||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||
出版タイプ | ||||||||
出版タイプ | VoR | |||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
識別子 | ||||||||
識別子 | http://hdl.handle.net/20.500.12000/46910 | |||||||
識別子タイプ | HDL | |||||||
関連情報 | ||||||||
識別子タイプ | DOI | |||||||
関連識別子 | https://doi.org/10.1216/RMJ-2017-47-5-1565 | |||||||
関連情報 | ||||||||
識別子タイプ | DOI | |||||||
関連識別子 | https://doi.org/10.1216/RMJ-2017-47-5-1565 | |||||||
収録物識別子 | ||||||||
収録物識別子タイプ | ISSN | |||||||
収録物識別子 | 0035-7596 | |||||||
収録物名 | ||||||||
言語 | en | |||||||
収録物名 | Rocky Mountain Journal of Mathematics | |||||||
書誌情報 |
巻 47, 号 5, p. 1565-1615, 発行日 2017 |