Generalized Weyl-von Neumann theorems

We show that the multiplier algebra M(A) of a sigma-unital C*-algebra with stable rank one and (FU) has real rank zero. We also show that the multiplier algebras M(A) of matroid C*-algebras and many other C*-algebras have (FU). Consequently, ii u is a unitary in M(A) and epsilon > 0, there are projections {p(n)} is an element of A such that [GRAPHICS] [GRAPHICS]