The Strong Atiyah conjecture for virtually cocompact special groups

Abstract

We provide new conditions for the Strong Atiyah conjecture to lift to finite group extensions. In particular, we show cocompact special groups satisfy these conditions, so the Strong Atiyah conjecture holds for virtually cocompact special groups.

15 pages, 2 figures, An error in an earlier argument for Theorem 3.5 has been corrected

References in corpus (3)

• Rational group ring elements with kernels having irrational dimension
• The strong Atiyah conjecture for right-angled Artin and Coxeter groups
• Closed manifolds with transcendental L2-Betti numbers