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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

Rigidity of free product von Neumann algebras

http://hdl.handle.net/2237/00030638
aa427fb2-2a8a-4756-b6f2-3825aeebf8c2
名前 / ファイル ライセンス アクション
1507_02157.pdf 1507_02157 (439.7 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2019-09-02
タイトル
タイトル Rigidity of free product von Neumann algebras
著者 Houdayer, Cyril

× Houdayer, Cyril

WEKO 93082

Houdayer, Cyril

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Ueda, Yoshimichi

× Ueda, Yoshimichi

WEKO 93083

Ueda, Yoshimichi

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権利
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.
内容記述タイプ Abstract
出版者
出版者 Cambridge 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
DOI
関連識別子
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 ISSN
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
著者版フラグ
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