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SIMPLE CROSSED PRODUCTS OF $C^{*}$ -ALGEBRAS BY LOCALLY COMPACT ABELIAN GROUPS
http://hdl.handle.net/10131/5425
http://hdl.handle.net/10131/5425ba0882e2-b911-4f28-9a82-fb95f7a6b640
名前 / ファイル | ライセンス | アクション |
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YMJ_28_N1-2_1980_069-085.pdf (1.4 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | SIMPLE CROSSED PRODUCTS OF $C^{*}$ -ALGEBRAS BY LOCALLY COMPACT ABELIAN GROUPS | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Kishimoto, Akitaka
× Kishimoto, Akitaka |
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著者所属 | ||||||
Department of Mathematics, Yokohama City University, Yokohama, Japan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We introduce a new invariant $¥tilde{¥Gamma}(¥alpha)$ , a closed subsemigroup of the dual of $G$, of a $c*$-dynamical system $(¥mathfrak{a}, G, ¥alpha)$ where $¥mathfrak{a}$ is a $C^{*}$-algebra, and $G$ is a locally compact abelian group with an action $¥alpha$ on $¥mathfrak{a}$ . We show that the crossed product $a¥times.G$ is simple if and only if $¥mathfrak{a}$ is $¥alpha$-simple (i.e. $¥mathfrak{a}$ does not have any non-trivial a-invariant ideals) and $¥tilde{¥Gamma}(¥alpha)$ equals the dual of $G$. We discuss some cases where $¥tilde{¥Gamma}(¥alpha)$ coincides with the Connes spectrum $¥Gamma(¥alpha)$ . Finally we give examples of simple crossed products of Cuntz algebras by locally compact abelian groups. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 28, 号 1&2, p. 69-85, 発行日 1980 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University |