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A Hilbert bundle characterization of Hilbert C*-modules |
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| Authors: | George A Elliott Katsunori Kawamura |
| Institution: | Department of Mathematics, University of Toronto, Toronto, Canada M5S 2E4 ; Department of Mathematics, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan |
| Abstract: | The category of Hilbert C*-modules over a given C*-algebra is shown to be equivalent to a certain simply described category of Hilbert bundles (i.e., continuous fields of Hilbert spaces) over the space of pure states of the C*-algebra with the zero functional adjoined. |
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