The strong Atiyah conjecture for right-angled Artin and Coxeter groups

Abstract

We prove the strong Atiyah conjecture for right-angled Artin groups and right-angled Coxeter groups. More generally, we prove it for groups which are certain finite extensions or elementary amenable extensions of such groups.

Minor changes

References in corpus (3)

• Rational group ring elements with kernels having irrational dimension
• On Turing dynamical systems and the Atiyah problem
• Closed manifolds with transcendental L2-Betti numbers

Cited by in corpus (8)

• Rips-Segev torsion-free groups without the unique product property
• The Bieri-Neumann-Strebel invariants via Newton polytopes
• Rips construction without unique product
• Profinite properties of RAAGs and special groups
• Localization, Whitehead groups, and the Atiyah Conjecture
• The lower central series of a right-angled Artin group
• Torsion invariants of complexes of groups
• The Strong Atiyah conjecture for virtually cocompact special groups