Endomorphisms of Stable Continuous-Trace C^*-algebras

2001/12/28 by Ilan Hirshberg, Hirshberg, Ilan
Mathematics · #46L05 (Primary) 46M20 (Secondary) #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L05 #msc:46M20

paper · pdf · doi:10.48550/arxiv.math/0112293

11 Pages

arxiv created 2002/01/09 · arxiv updated 2009/11/30

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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