Rescalings of free products of II_1 factors
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2001
- DOI:
- 10.48550/arXiv.math/0105114
- arXiv:
- arXiv:math/0105114
- Bibcode:
- 2001math......5114D
- Keywords:
-
- Operator Algebras;
- 46L54
- E-Print:
- 5 pages