$K\sb 1$-groups, quasidiagonality, and interpolation by multiplier projections
$K\sb 1$-groups, quasidiagonality, and interpolation by multiplier projections
We relate the following conditions on a $\sigma$-unital ${C^\ast }$-algebra $A$ with the "${\text {FS}}$ property": (a) ${K_1}(A) = 0$; (b) every projection in $M(A)/A$ lifts; (c) the general Weyl-von Neumann theorem holds in $M(A)$: Any selfadjoint element $h$ in $M(A)$ can be written as $h = \sum \nolimits _{i …