Abstract
We give a simple proof of a theorem of C. Houdayer that an amenable von Neumann subalgebra in a tracial free product von Neumann algebra $M=M_{1}*M_{2}$ is contained in $M_{1}$ whenever it has a diffuse intersection with $M_{1}$.
Citation
Narutaka Ozawa. "A remark on amenable von Neumann subalgebras in a tracial free product." Proc. Japan Acad. Ser. A Math. Sci. 91 (7) 104 - 104, July 2015. https://doi.org/10.3792/pjaa.91.104
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