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arXiv · 1312.5647

On the first continuous $L^2$-cohomology of free group factors

Vadim Alekseev
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Abstract

We prove that the first continuous $L^2$-cohomology of free group factors vanishes. This answers a question by Andreas Thom regarding continuity properties of free difference quotients and shows that one can not distinguish free group factors by means of first continuous $L^2$-Betti number.

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Vadim Alekseev. 2013-12-19. On the first continuous $L^2$-cohomology of free group factors. https://doi.org/10.1016/j.jfa.2014.10.005

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