Endomorphisms of Stable Continuous-Trace C^*-algebras
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- December 2001
- DOI:
- 10.48550/arXiv.math/0112293
- arXiv:
- arXiv:math/0112293
- Bibcode:
- 2001math.....12293H
- Keywords:
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- Operator Algebras;
- 46L05 (Primary) 46M20 (Secondary)
- E-Print:
- 11 Pages