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math.FA2007
Integer operators in finite von Neumann algebras
Andreas Thom
Motivated by the study of spectral properties of self-adjoint operators in the integral group ring of a sofic group, we define and study integer operators. We establish a relation…
math.GR2007
Low degree bounded cohomology and l^2-invariants for negatively curved groups
Andreas Thom
We study the subgroup structure of discrete groups which share cohomological properties which resemble non-negative curvature. Examples include all Gromov hyperbolic groups. We pro…
math.FA2007★ 1 cited
Sofic groups and diophantine approximation
Andreas Thom
We prove the algebraic eigenvalue conjecture of J. Dodziuk, P. Linnell, V. Mathai, T. Schick and S. Yates for sofic groups. Moreover, we give restrictions on the spectral measure o…