Endomorphisms of stable continuous-trace 𝐶*-algebras

Abstract

We classify C 0 ( X ) C_0(X) -endomorphisms of stable continuous-trace C ∗ C^\ast -algebras up to inner automorphism by a surjective multiplicative invariant taking values in finite-dimensional vector bundles over the spectrum. Specializing to automorphisms, this gives a different approach to results of Lance, Smith, Phillips and Raeburn.