2 citations · 3 across the 5 of their papers we have counts for
5 papers
Examples of hyperlinear groups without factorization property
Andreas Thom
In this note we give an example of a group which is locally embeddable into finite groups (in particular it is initially subamenable, sofic and hence hyperlinear) but does not have…
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…
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…
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…
Algebraic K-theory and locally convex algebras
Joachim Cuntz, Andreas Thom
We consider functors from the category of locally convex algebras to abelian groups and prove invariance under smooth homotopies for weakly J-stable algebras, where J is a harmonic…