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arXiv · 1203.3875

Extensions of Hilbert C*-modules: classification in simple cases

Vladimir Manuilov·Jingming Zhu
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Abstract

Theory of extensions of Hilbert C*-modules was developed by D. Bakic and B. Guljas. An easy observation shows that in the case, when the underlying C*-algebra extension is commutative and the Hilbert C*-modules are projective of finite type, the algebraic properties of the corresponding Busby invariant allow to identify extensions with isometric maps of the corresponding vector bundles. When the Hilbert C*-modules are free of rank one, we evaluate the set of extensions in topological terms.

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Vladimir Manuilov, Jingming Zhu. 2012-03-17. Extensions of Hilbert C*-modules: classification in simple cases. https://arxiv.org/abs/1203.3875

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