On the Fundamental Group of Type II$_1$ Factors

Details On the Fundamental Group of Type II$_1$ Factors On the Fundamental Group of Type II$_1$ Factors

2002-10-30

arxiv.org/abs/math/0210467v1

Mathematics

Operator Algebras

Scientific paper

We present here a shorter version of the proof of a result from our paper
``On a class of type II$_1$ factors with Betti numbers invariants'', showing
that the von Neumann factor associated with the group $\Bbb Z^2 \rtimes SL(2,
\Bbb Z)$ has trivial fundamental group.

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