Absence of cartan subalgebras in continuous cores of free product von neumann algebras

Yoshimichi Ueda

doi:10.3792/pjaa.90.151

Absence of cartan subalgebras in continuous cores of free product von neumann algebras

Yoshimichi Ueda

数理科学部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

1 被引用数 (Scopus)

抄録

We show that the continuous core of any type III free product factor has no Cartan subalgebra. This is a complement to previous works due to Houdayer-Ricard and Boutonnet-Houdayer-Raum.

本文言語	英語
ページ（範囲）	151-155
ページ数	5
ジャーナル	Proceedings of the Japan Academy Series A: Mathematical Sciences
巻	90
号	10
DOI	https://doi.org/10.3792/pjaa.90.151
出版ステータス	出版済み - 2014

All Science Journal Classification (ASJC) codes

数学 (全般)

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10.3792/pjaa.90.151

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引用スタイル

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title = "Absence of cartan subalgebras in continuous cores of free product von neumann algebras",

abstract = "We show that the continuous core of any type III free product factor has no Cartan subalgebra. This is a complement to previous works due to Houdayer-Ricard and Boutonnet-Houdayer-Raum.",

author = "Yoshimichi Ueda",

note = "Publisher Copyright: {\textcopyright} 2014 The Japan Academy.",

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journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

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JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

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Absence of cartan subalgebras in continuous cores of free product von neumann algebras

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