Endomorphisms of stable continuous-trace $C^*$-algebras
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- by Ilan Hirshberg PDF
- Proc. Amer. Math. Soc. 132 (2004), 481-486 Request permission
Abstract:
We classify $C_0(X)$-endomorphisms of stable continuous-trace $C^\ast$-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.References
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Additional Information
- Ilan Hirshberg
- Affiliation: Department of Mathematics, University of California at Berkeley, Berkeley, California 94720
- Email: ilan@math.berkeley.edu
- Received by editor(s): February 1, 2002
- Received by editor(s) in revised form: October 10, 2002
- Published electronically: July 31, 2003
- Communicated by: David R. Larson
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 481-486
- MSC (2000): Primary 46L05, 46M20
- DOI: https://doi.org/10.1090/S0002-9939-03-07115-6
- MathSciNet review: 2022372