Convergence of automorphisms in certain C∗-algebras

AbstractIt is shown that in an AW∗-algebra a sequence of automorphisms which converges simply converges in norm. More generally, this is shown to hold in the quotient of an AW∗-algebra by a closed two-sided ideal. A similar result holds for derivations. Kallman had previously demonstrated this in a W∗-algebra (he assumed countable decomposability or finiteness), but his methods are not applicable to quotients of a W∗-algebra