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

Yoshimichi Ueda

doi:10.3792/pjaa.90.151

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December 2014 Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras

Yoshimichi Ueda

Proc. Japan Acad. Ser. A Math. Sci. 90(10): 151-155 (December 2014). DOI: 10.3792/pjaa.90.151

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. "Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras." Proc. Japan Acad. Ser. A Math. Sci. 90 (10) 151 - 155, December 2014. https://doi.org/10.3792/pjaa.90.151