On the Fundamental Group of Type II$_1$ Factors

Sorin Popa

arxiv: math/0210467 · v1 · submitted 2002-10-30 · 🧮 math.OA · math.GR

On the Fundamental Group of Type II₁ Factors

Sorin Popa This is my paper

classification 🧮 math.OA math.GR

keywords groupfactorsfundamentaltypeassociatedbetticlassfactor

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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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On the Fundamental Group of Type II₁ Factors

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