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SOME REMARKS ON CROSSED PRODUCTS OF VON NEUMANN ALGEBRAS BY KAC ALGEBRAS
http://hdl.handle.net/10131/5410
http://hdl.handle.net/10131/54106e1ecdec-a1c0-4d25-9685-c71c13f10d68
名前 / ファイル | ライセンス | アクション |
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YMJ_27_N2_1979_141-162.pdf (1.9 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 | SOME REMARKS ON CROSSED PRODUCTS OF VON NEUMANN ALGEBRAS BY KAC ALGEBRAS | |||||
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 |
Nakagami, Yoshiomi
× Nakagami, Yoshiomi |
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著者所属 | ||||||
Department of Mathematics, Yokohama City University, 22-2 Seto, Kanazawa-ku, Yokohama 236 Japan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Some supplementary results to our previous papers are given. The outer conjugacy between covariant systems corresponds to the conjugacy between covariant systems of the crossed products. The integrability of an action $¥alpha$ with $¥leftarrow Z^{a}$ properly infinite is characterized by $t_{¥vee}¥prime ¥mathfrak{S}¥ovalbox{¥tt¥small REJECT}(H),¥overline{¥alpha}$} $¥cong$ $¥{-J¥overline{¥otimes}¥ovalbox{¥tt¥small REJECT}¥lambda H),¥tilde{a}¥}_{e}$ for some projection $e$ in the crossed product $¥ovalbox{¥tt¥small REJECT}^{*}(¥vee'.K, a)$ . Every action (or co-action of a locally compact group) is implemented by a unitary whenever the von Neumann algebra is properly infinite and standard. The definition of inner tensor products $¥alpha_{1}*¥alpha_{2}$ of actions $¥alpha_{1}$ and $¥alpha_{2}$ and some related properties are discussed. If $¥alpha$ is dual, then $( ^{a})^{¥prime}¥cap ¥subset¥vee'¥alpha$ is equivalent to $¥alpha(¥ovalbox{¥tt¥small REJECT})^{¥prime}¥cap¥ovalbox{¥tt¥small REJECT}^{*}(¥alpha)¥subset¥ovalbox{¥tt¥small REJECT}^{*}(¥alpha)^{¥prime}$ . | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 27, 号 2, p. 141-162, 発行日 1979 |
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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 |