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A Hilbert bundle characterization of Hilbert C*-modules
2008
Transactions of the American Mathematical Society
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.
doi:10.1090/s0002-9947-08-04600-x
fatcat:4af56emtyjhshkyr72ncteux2e