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Rigidity of free product von Neumann algebras
http://hdl.handle.net/2237/00030638
http://hdl.handle.net/2237/00030638aa427fb2-2a8a-4756-b6f2-3825aeebf8c2
名前 / ファイル | ライセンス | アクション |
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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 | Rigidity of free product von Neumann algebras | |||||
言語 | en | |||||
著者 |
Houdayer, Cyril
× Houdayer, Cyril× 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 | This article has been published in a revised form in [Compositio Mathematica] [https://doi.org/10.1112/S0010437X16007673]. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © 2016 Cambridge University Press. | |||||
抄録 | ||||||
内容記述 | Let I be any nonempty set and let (Mi, φi)i∈I be any family of nonamenable factors, endowed with arbitrary faithful normal states, that belong to a large class C anti-free of (possibly type III) von Neumann algebras including all nonprime factors, all nonfull factors and all factors possessing Cartan subalgebras. For the free product (M,φ)=*i∈I(Mi,φi) , we show that the free product von Neumann algebra M retains the cardinality |I| and each nonamenable factor Mi up to stably inner conjugacy, after permutation of the indices. Our main theorem unifies all previous Kurosh-type rigidity results for free product type II1 factors and is new for free product type III factors. It moreover provides new rigidity phenomena for type III factors. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Cambridge University Press | |||||
言語 | ||||||
言語 | eng | |||||
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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/10.1112/S0010437X16007673 | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0010-437X | |||||
書誌情報 |
Compositio Mathematica 巻 152, 号 12, p. 2461-2492, 発行日 2016-12 |
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著者版フラグ | ||||||
値 | author |