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| Format: | Preprint |
| Published: |
2006
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0611348 |
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Table of Contents:
- B. Magajna and J. Schweizer showed in 1997 and 1999, respectively, that C*-algebras of compact operators can be characterized by the property that every norm-closed (and coinciding with its biorthogonal complement, resp.) submodule of every Hilbert C*-module over them is automatically an orthogonal summand. We find out further generic properties of the category of Hilbert C*-modules over C*-algebras which characterize precisely the C*-algebras of compact operators.