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A characterization of the fullness of continuous cores of type III1 free product factors
http://hdl.handle.net/2237/00030640
http://hdl.handle.net/2237/0003064021b69b02-f909-4442-a1cd-d03e5cb13fe8
名前 / ファイル | ライセンス | アクション |
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1412_2418 (168.1 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2019-09-02 | |||||
タイトル | ||||||
タイトル | A characterization of the fullness of continuous cores of type III1 free product factors | |||||
言語 | en | |||||
著者 |
Tomatsu, Reiji
× Tomatsu, Reiji× Ueda, Yoshimichi |
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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 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | ©2016 by Kyoto University | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | type III factor | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | continuous core | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | full factor | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | free product | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Bernoulli crossed product | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | τ-invariant | |||||
抄録 | ||||||
内容記述 | We prove that, for any type III1 free product factor, its continuous core is full if and only if its τ-invariant is the usual topology on the real line. This trivially implies, as a particular case, the same result for free Araki–Woods factors. Moreover, our method shows the same result for full (generalized) Bernoulli crossed product factors of type III1. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Duke University Press | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1215/21562261-3600193 | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 2156-2261 | |||||
書誌情報 |
Kyoto Journal of Mathematics 巻 56, 号 3, p. 599-610, 発行日 2016 |
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著者版フラグ | ||||||
値 | author |