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A remark on amenable von Neumann subalgebras in a tracial free product by Ozawa, Narutaka is a scholarly article available to read on EtoBox.

What is A remark on amenable von Neumann subalgebras in a tracial free product about?

Let $M=M_1*M_2$ be a nontrivial tracial free product of finite von Neumann algebras. We prove that any amenable subalgebra of $M$ that has a diffuse intersection with $M_1$ is in fact contained in $M_1$. This has been proved by C. Houdayer under more general circumstances.

Author

Ozawa, Narutaka

Published

2015

Language

EN