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Endomorphisms of Stable Continuous-Trace C^*-algebras

Ilan Hirshberg
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Abstract

We classify spectrum-preserving endomorphisms of stable continuous-trace C^*-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 Phillips and Raeburn.

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Ilan Hirshberg. 2002-01-09. Endomorphisms of Stable Continuous-Trace C^*-algebras. https://arxiv.org/abs/math/0112293

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