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

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	151-155
Number of pages	5
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	90
Issue number	10
DOIs	https://doi.org/10.3792/pjaa.90.151
Publication status	Published - 2014

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.3792/pjaa.90.151

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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",

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journal = "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

Abstract

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