English

Endomorphisms of Stable Continuous-Trace C^*-algebras

Operator Algebras 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0112293,
  title  = {Endomorphisms of Stable Continuous-Trace C^*-algebras},
  author = {Ilan Hirshberg},
  journal= {arXiv preprint arXiv:math/0112293},
  year   = {2007}
}

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11 Pages