Abstract
We provide new conditions for the strong Atiyah conjecture to lift to finite group extensions. In particular, we show that fundamental groups of compact special cube complexes satisfy these conditions, so the conjecture holds for finite extensions of these groups.
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Acknowledgments
I would like to thank Prof. Peter Linnell for sending a proof that finite index subgroups of right-angled Artin groups have enough torsion-free quotients. I would also like to thank my advisor Prof. Boris Okun for all of his help and advice throughout this paper, and the anonymous referee for finding a mistake in an earlier version of the paper and for useful suggestions.
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Schreve, K. The strong Atiyah conjecture for virtually cocompact special groups. Math. Ann. 359, 629–636 (2014). https://doi.org/10.1007/s00208-014-1007-9
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DOI: https://doi.org/10.1007/s00208-014-1007-9