ON DERIVATIONS OF AW*-ALGEBRAS

Abstract

Some elementary results on derivations of continuous fields of C*-algebras are used to prove that every derivation of an AW*-algebra of type III (or of type I) is inner, and also that if a given quotient of an AW*-algebra is known to have only inner derivations, its tensor product with a separable commutative C*-algebra with unit also has this property.