We review the Burghelea conjecture, which constitutes a full computation of the periodic
cyclic homology of complex group rings, and its relation to the algebraic Baum–Connes …

In this paper, we use some specific properties that are enjoyed by group elements with non-
zero Hattori-Stallings rank function and define, by homological means, a large class of …

Given a group G and a commutative ring k with identity, one can define an k-algebra k [G]
called the group algebra of G over k. An element α∈ k [G] is said to be algebraic if f (α)= 0 for …