Rescalings of free products of II_1 factors

Details Rescalings of free products of II_1 factors Rescalings of free products of II_1 factors

2001-05-15

arxiv.org/abs/math/0105114v1

Mathematics

Operator Algebras

5 pages

Scientific paper

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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