In this paper, we study the class of rings that satisfy internal direct sum cancellation with
respect to their 1-sided ideals. These are known to be precisely the rings in which regular …

The theory of idempotent matrices with entries in complex group algebras has recently
experienced a revival, in view of its close relationship with deep geometric problems and …

Let G be a group and E an idempotent matrix with entries in the group algebra CG. In this
paper, we consider the embedding of CG into the von Neumann algebra G and use the …

We study the universal (Hattori-Stallings) trace on the K-theory of Banach algebras
containing the complex group ring. As a result, we prove that for a group satisfying the Baum …

Let G be a torsion-free group. The idempotent conjecture for the complex group algebra CG
can be strengthened to the conjecture about the triviality of idempotents in the reduced …