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Rescalings of free products of II_1 factors

Ken Dykema·Florin Radulescu
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Abstract

We introduce notation Q(1) * ... * Q(n) * L(F_r)$ for von Neumann algebra II_1 factors where $r$ is allowed to be negative. This notation is defined by rescalings of free products of II_1 factors, and is proved to be consistent with known results and natural operations. We also give two statements which we prove are equivalent to isomorphism of free group factors.

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Ken Dykema, Florin Radulescu. 2001-05-15. Rescalings of free products of II_1 factors. https://arxiv.org/abs/math/0105114

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