Rescalings of Free Products of Ii1–factors
نویسندگان
چکیده
We introduce the notation Q(1) ∗ · · · ∗ Q(n) ∗L(Fr) for von Neumann algebra II1–factors where r is allowed to be negative. This notation is defined by rescalings of free products of II1–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.
منابع مشابه
Subfactors of Free Products of Rescalings of a Ii1–factor
Let Q be any II1–factor. It is shown that any standard lattice G can be realized as the standard invariant of a free product of (several) rescalings of Q. In particular, if Q has fundamental group equal to the positive reals and if P is the free product of infinitely many copies of Q, then P has subfactors giving rise to all possible standard invariants. Similarly, given a II1–subfactor N ⊂ M ,...
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