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arXiv · 1401.6489

Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras

Yoshimichi Ueda
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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.

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Yoshimichi Ueda. 2014-05-15. Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras. https://doi.org/10.3792/pjaa.90.151

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